Mathematics · Web viewMathematics Curriculum 2/1/2015 Serve him with the ruler and the calculator....

MathematicsCurriculum

2/1/2015

Serve him with the rulerand the calculator.

St. Paul Lutheran ChurchStevens Point, WI

ST. PAUL LUTHERAN

KINDERGARTEN

MATHEMATICS CURRICULUM

Page 1

TIME ALLOTMENT/CALENDAR:25 minutes a day 5 days/week

LEARNER OUTCOMES:By the end of Kindergarten, each student will:1. Count to 100 by rote.

2. Recognize numbers to 100.

3. Count objects accurately to 30.

4. Compare sets (understand more than, less than, and equal too).

5. Join sets (addition).

6. Remove a subset from a set (subtraction).

7. Write numbers to 30.

8. Recognize, copy, extend and create patterns.

9. Recognize the pattern of the base ten number system.

10. Demonstrate understanding of invariance of number to 10.

11. Organize objects according to their properties or attributes.

12. Graph using pictures, objects, or counting.

13. Count to 100 by 5’s and 10’s.

14. Recognize months of the year and days of the week.

15. Recognize time in digital and regular form.

16. Compare coins of monetary worth and demonstrate knowledge of each coin (penny, nickel, dime and quarter).

17. Demonstrate knowledge of measurement in inches.

18. Demonstrate knowledge of basic fractions.

19. Solve simple story problems with basic addition and subtraction properties.

BASIC TEACHING/LEARNING MATERIALS: A Beka – Copyright 1995 – Number Skills K Pensecola Christian College Various manipulatives, including but not limited to, Unifix cubes, pattern blocks, geo-boards,

straws, tiles, counters, number cards, play money and individual clocks. Teacher-generated materials and class-collected materials and classroom objects

ST. PAUL LUTHERAN

KINDERGARTENMATHEMATICS CURRICULUM

Page 2

TEACHING/LEARNING PROCEDURES:

Concepts are introduced through various total-group activities and teacher direction. The children apply, practice and extend the concepts through small-group and individual activities. Although there are no actual units, there is an oral evaluation done to assess the child’s learning after anywhere between 5-12 lessons. Concepts are reviewed daily. Many activities are integrated into the curriculum throughout the year: calendar, counting, number line, days of school, and weather graphing.

COURSE OUTLINE:

Extending, completing, describing and analyzing patterns Counting objects, one-to-one correspondence Writing number 1-30 Graphing Pennies, nickels, dimes and quarters Shapes Comparing by size and shape Left and right Counting forwards/backwards Counting on Recognizing numbers to 30 Counting by rote to 100 Adding and subtracting Comparing by color and detail Comparing lengths by inches Counting by 5’s and 10’s to 100 Fact families Telling time by hour and ½ hour Fractions – ½, 1/3, ¼

Revised 2/1/2015ST. PAUL LUTHERAN

GRADE 1MATHEMATICS CURRICULUM

Page 1

TIME ALLOTMENT/CALENDAR:5 days a week 45 minutes a day

LEARNER OUTCOMES:By the end of first grade, each student will:1. Recognize, count, compare, order and record numbers 0-100.

2. Use information from a picture, graph or chart to solve problems.

3. Identify and know the value of penny, nickel, dime and quarter.

4. Read and write time: hour and half hour.

5. Master basic addition and subtraction facts 0-10.

6. Work through problem solving and develop critical thinking skills.

7. Identify fractions: halves, thirds and fourths.

8. Estimate, measure and compare objects using standard measurements.

9. Prepare for multiplication and division readiness.

10. Add using three or more addends.

11. Understand greater than, less than, and equal symbols.

12. Understand ordinal numbers.

13. Recognize fact families.

14. Use number sentences to problem solve.

15. Recognize various patterns.

16. Identify symmetry and basic plane and solid figures.

17. Exhibit understanding of flips, slides and turns.

18. Become acquainted with capacity, weight and mass.

19. Investigate probability.



Page 2

BASIC TEACHING/LEARNING MATERIALS:

Houghton Mifflin Math, 2007 and support materials Manipulatives, include pattern blocks, dollar bills, coins, rulers, clocks, geo-boards, tangrams, dominoes, game boards, and flash cards. Assessment materials


Each lesson begins with a review of the previous day’s lesson followed by a quick warm-up, depending upon the lesson of the day; a “grabber” to hold their attention.

Manipulatives are usually used with introductory and example problems. A few examples are done together followed by individual work. Time is given to do seat work for the express purpose of instant feedback for the student.

COURSE OUTLINE:

Unit 1 Number Concepts

Unit 2 Addition Concepts

Unit 3 Subtraction Concepts

Unit 4 Data and Graphing

Unit 5 Addition Strategies Through 10

Unit 6 Subtraction Strategies Through 10

Unit 7 Plane and Solid Shapes

Unit 8 Spatial Sense and Patterns

Unit 9 Fractions and Probability

Revised 2/1/2015

We test all of the students in 5th – 8th grade at the beginning of each year to evaluate their math skills. We give them the end of the year test of the grade they are currently in. If they score 75% or above on the test, we move them up to the next grade’s math. Once they get to eighth grade, if they test out of eighth grade math, they are put in Algebra 1 which is a high school level course.

Revised 2/1/2015

ST. PAUL LUTHERAN


Page 1


LEARNER OUTCOMES:By the end of second grade, each student will:1. Read, write, estimate, order and compare numbers 0-10,000.

2. Use addition and subtraction properties and fact families to find sums of two and three numbers to 20 and differences from 20.

3. Use the inverse relationship of addition and subtraction to find missing addends.

4. Take a survey, interpret and create pictographs and bar graphs.

5. Read and make a line graph, Venn Diagrams and use probability to determine fairness.

6. Locate objects on a coordinate graph.

7. Apply skills and strategy to solve problems and develop critical thinking skills.

8. Explore the likelihood of an event and the concept of fair and unfair using probability.

9. Identify odd and even numbers.

10. Skip count by 2s, 3s, 5s, and 10s to 100.

11. Describe and create a variety of patterns.

12. Identify, describe, classify and compare plane shapes, solid shapes and angles.

13. Identify, write, and compare fractions of a region and fractions of a set.

14. Identify transformations of shapes.

15. Use mental math and estimation to add and subtraction.

16. Add and subtract two and three digit numbers with and without regrouping, including money.

17. Rewrite and add numbers in vertical form.

18. Count and compare collections of coins and write the value.

19. Make change using pennies, nickels, dimes and quarters.

20. Read and write time to 5 minutes.

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ST. PAUL LUTHERAN


Page 2Learner Outcomes (continued):

21. Determine elapsed time.

22. Compare periods of time using a calendar.

23. Estimate, measure and compare lengths using nonstandard, customary and metric units.

24. Measure and use models to find perimeter and area.

25. Estimate, measure and compare to find capacity, weight, and mass of an object.

26. Read a Fahrenheit and Celsius thermometer.

27. Choose the correct tool to measure an object.

28. Multiply using repeated addition, skip counting and arrays.

29. Use the properties of multiplication.

30. Make equal groups to 2 and 5 and use repeated subtraction to explore division.


Houghton Mifflin Math , 2007 Level 2 Student textbooks with manipulatives and teacher resource material. Math manipulatives including: calculators, pattern blocks, dollar bills and coins, rulers, clocks,

flashcards, geo-boards, tangrams, counters, etc. Online flashcards and math websites including Adapted Mind Math and Ten Marks Mad Minutes


Each lesson begins with the class going through flashcards together. Mad Minutes are administered on Mondays with a goal set for each quarter. Most days, manipulatives are used with some introductory and example problems. After the warm-up activities and introduction of the concepts, there is a time for individual work. Several problems are done and are checked with the students individually. This provides instant feedback on a particular skill.

Other days are set aside for alternate approaches to teaching difficult concepts or to provide extension activities. Other techniques used for teaching and learning are small group projects or problems, connections to other disciplines such as science and language arts, and applications to real life situations. Many math games or learning tools are provided for students who complete their work.

Revised 2/1/2015

ST. PAUL LUTHERAN


Page 3

COURSE OUTLINE:Unit 1 Number Concepts Through 50

Unit 2 Addition Facts

Unit 3 Subtraction Facts

Unit 4 Data, Graphing, and Probability

Unit 5 Place Value

Unit 6 Number Concepts and Patterns

Unit 7 Plane Shapes

Unit 8 Solid Shapes

Unit 9 Fractions

Unit 10 Regrouping with Addition

Unit 11 Using Two-Digit Addition

Unit 12 Regrouping with Subtraction

Unit 13 Using Two-Digit Subtraction

Unit 14 Counting Money Unit 15 Using Money

Unit 16 Time and Calendar

Unit 17 Length

Unit 18 Weight, Capacity, and Temperature

Unit 19 Multiplication and Division

Unit 20 Numbers Through 10,000

Unit 21 Adding Three-Digit Numbers

Unit 22 Subtracting Three-Digit Numbers

Revised 2/1/2015

Revised 2/1/2015ST. PAUL LUTHERANGRADE 3

MATHEMATICS CURRICULUMPage 1

TIME ALLOTMENT/CALENDAR:5 days a week45 minutes per day

LEARNER OUTCOMES:By the end of third grade, each student will:

1. Master the basic operations with whole numbers (addition, subtraction, multiplication, and division).

2. Use the appropriate mathematical operation or operations to solve realistic problems.

3. Gain a firm understanding of the significance and use of numbers in counting, measuring, comparing, and ordering.

4. Understand the value of money and solve various problems with money.

5. Use and understand basic geometric concepts such as perimeter, volume, area, symmetry, line segments, rays, parallels, and angles.

6. Identify and work with various plane and solid figures including triangles, quadrilaterals, and polygons.

7. Identify, read, and write the numeral of a given number up to 999,999 and tell the place value of each digit.

8. Demonstrate an understanding of fractions including identification, comparing, ordering and equivalency.

9. Collect and record data and develop an appropriate bar graph or pictograph to display it, and interpret previously made bar graphs or pictographs.

10. Develop an understanding of time, temperature, capacity, and metric measuring.

11. Demonstrate a basic understanding of prediction, probability, and outcome.


Math , Houghton Mifflin, 2007 worksheets Smartboard and Smart note activities Tangrams, Pattern blocks, Unifix Cubes and fraction manipulatives Coin and bill sets, Clocks, Dice, Flashcards, Base 10 blocks, Games Online tutorials and timed games Thermometers and containers used to measure liquids Rulers, Tape Measurers, Yard Sticks, Metric Sticks

Revised 2/1/2015

ST. PAUL LUTHERAN

GRADE 3

MATHEMATICS CURRICULUMPage 2


All of the lessons involve class discussion, drawing on prior knowledge and/or introducing a topic for the first time. A variety of activities are used to provide reinforcement. Such activities include notebooking, flash cards, manipulatives, mad minute drills, online tutorials, songs, raps, stories, task cards, and worksheets.

COURSE OUTLINE:

Unit 1 Recognize and identify different uses of numbers Read, write and identify place values of digits in whole numbers through hundred thousands. Compare, order and round up to four-digit whole numbers. Understand the functions of the dollar sign and decimal point. Compare the amounts of money as groups that are greater than and less than. Add and subtract money Round money to the nearest dollar and ten dollar amounts. Solve word problems using money.

Unit 2 Use the addition properties of commutative, associative, and zero properties. Estimate sums and differences using rounding and compatible numbers. Add two, three, and four digit numbers with and without regrouping. Use column addition to calculate three to four addends. Use basic algebraic thinking to solve addition and subtraction problems.

Unit 3 Collect, organize and analyze data; use the concepts of range, median and mode Make and interpret line plots, pictographs, and bar graphs Read make graphs with ordered pairs Understand probability, identify outcomes, and make predictions.

Unit 4 Model multiplication and division Use multiplication properties and division rules Relate multiplication and division; use fact families Use basic multiplication facts for 0-10 Use 1-10 as divisors Solve problems using skills and strategies



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COURSE OUTLINE: (continued)

Unit 5 Read and write time to the minute; determine elapsed time using clocks and calendars. Read, write and compare temperatures in degrees Fahrenheit and Celsius Estimate, measure, compare, and convert customary and metric units of length, capacity, weight

and mass. Solve problems using skills and strategies.

Unit 6 Name and describe characteristics of points, lines, line segments, rays and angles. Identify and classify plane and solid figures. Identify and classify solid geometric figures. Identify congruent figures, similar figures, and lines of symmetry. Estimate and find perimeter, area, and volume Solve problems using skills and strategies

Unit 7 Identify parts of regions and groups; find fractional parts of a group; find equivalent fractions. Identify and write mixed numbers Compare and order fractions Add and subtract fractions with like denominators Identify, compare, and order decimals Add and subtract decimals Solve problems using skills and strategies

Unit 8 Multiply multiples of 10, 100 and 1, 000 Estimate products and quotients Use basic facts and patterns to divide Multiply money and two and three digit numbers by a one digit number. Divide money and two and three digit numbers with and without remainders. Solve problems using skills and strategies.

ST. PAUL LUTHERAN

Revised 2/1/2015GRADE 4MATHEMATICS CURRICULUM

Page 1


LEARNER OUTCOMES:By the end of fourth grade, each student will:

1. Read, write, and identify place value of digits in whole numbers through hundred millions.

2. Use addition, subtraction, multiplication, and division properties and rules.

3. Multiply and divide by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

4. Multiply two, three, four and five digit numbers by two-digit numbers.

5. Find factors and multiples of a number; identify prime and composite numbers.

6. Use mental math to multiply multiples of 10.

7. Find the average of a set of numbers.

8. Collect, organize, and analyze data; find mean, median, mode, and range..

9. Make, read, and interpret line plots, stem-and-leaf plots, bar graphs, circle graphs, and line graphs.

10. Identify congruent figures and figures with line and rotational symmetry.

11. Identify, perform and predict the results of rotation, reflections, and translations.

12. Find the perimeter, area, and volume of an object.

13 Compare and order fractions.

14. Estimate, measure, compare and convert customary and metric units of length, capacity, and weight.

15. Write fractions and mixed numbers as decimals.

16. Add and subtract fractions and mixed numbers with like denominators.

17. Identify, compare, order, and round decimals.

18. Add and subtract decimals to the thousandths.

19. Use probability to make predictions.

20. Use tables, graphs, and tree diagrams to represent probability outcomes.

21. Locate, identify, and graph points on a coordinate plane; graph lines.

22. Write integers.ST. PAUL LUTHERAN

Revised 2/1/2015


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Houghton Mifflin student textbooks Math manipulatives include: fraction bars, pattern blocks, geo-boards, rulers, flashcards,

Smartboard, and clocks Mad Minutes Teaching Resource Copy Masters Patchwork Math by Scholastic Advanced Division by Learning Horizons Fourth Grade Brain Techers by Teacher Created Materials


Each lesson begins with a review of the previous day’s lesson followed by a few problems worked out on the Smartboard. The class may be started with a problem of the day, flashcards, activity or mad minutes. The lesson is then given with many examples on the board or problems worked together on paper. Individual time is given for work and questions.

COURSE OUTLINE:

Unit 1 Place Value and Money Uses of numbers Place value through Hundred thousands Using Logical Reasoning Place Value through Hundred Millions

Unit 2 Compare, Order, and Round Whole Numbers and Money Compare Numbers Order Numbers Compare and Order Money Make Change Round Numbers

Unit 3 Add and Subtract Whole Numbers Addition Properties and Subtraction Rules Mental Math Strategies Estimate sums and differences Add Whole Numbers and Money Subtract whole Numbers Add and Subtract Greater Numbers

ST. PAUL LUTHERAN

Revised 2/1/2015


Page 3


Unit 4 Multiplication and Division Basic Facts Multiplication Properties and Division Rules Relate Multiplication and Division Patterns in Multiplication and Division Multiplication and Division Facts by Five Multiplication and Division Facts by Ten Common Multiples Multiply Three Factors Division With Remainders

Unit 5 Algebraic Reasoning Order of Operations Words Into Expressions Compare Expressions Variables and Equations Write and Equation Function Tables

Unit 6 Multiplication of Whole Numbers Multiply Multiples of 10, 100, and 1,000 Estimate Products Multiply Two-Digit Numbers by One-Digit Numbers Multiply Three-Digit Numbers by One-Digit Numbers Multiply Greater Numbers

Unit 7 Multiply by Two-Digit Numbers Patterns With Multiples of 10, 100, and 1,000 Estimate Products Multiply 2 Two-Digit Numbers Multiply Three-Digit Numbers by Two-Digit Numbers Multiply Greater Numbers

Unit 8 Understand Division Divide with Remainders Regroup in Division Divide multiples of 10, 100, 1,000 Estimate Quotients

ST. PAUL LUTHERAN


Revised 2/1/2015

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Unit 9 Divide by One-Digit Divisors Three-Digit Quotients Place the First Digit of the Quotient Divide Money Zeros in the Quotient Divide Greater Numbers

Unit 10 Number Theory and Mean Factors and Multiples Prime and Composite Numbers Find the Mean Factor Trees

Unit 11 Divide by Two-Digit Divisors Divide by Multiples of 10 Estimate Quotients One-Digit Quotients Two-Digit Quotients Adjust the Quotients

Unit 12 Customary and Metric Measurement Explore Customary Units of Length Inch, Foot, Yard, Mile Customary Units of Capacity Customary Units of Weight Customary Units of Length

Unit 13 Time and Temperature Elapsed Time Calendar Temperature and Negative Numbers

Unit 14 Collect and Analyze Data Collect and Organize Data Make a table Mean, median, Mode, and range Line Plots Stem-and – Leaf Plots

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Revised 2/1/2015


Unit 15 Graph Data Double Bar Graphs Read and Make Line Graphs Analyze Graphs

Unit 16 Plane Figures Points, Lines, and Line Segments Rays an Angles Measure Angles Quadrilaterals and Other Polygons Classify triangles Circles

Unit 17 Congruence, Symmetry, and Transformations Rotations, Reflections, and Translations Congruent Figures Symmetry

Unit 18 Perimeter, Area, and Volume Area Perimeter and Area of Complex Figures Volume

Unit 19 Understand Fractions Represent Fractions Equivalent Fractions and Simplest Form Compare and Order Fractions Find Part of a Number Mixed Numbers and Improper Fractions

Unit 20 Add and Subtract Fractions Add and Subtract Fractions With Like Denominators Add and Subtract Mixed Numbers Estimate with Fractions Add Fractions with Unlike Denominators

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Revised 2/1/2015

Unit 21 Understand Decimals Tenths and Hundredths Thousandths Mixed Numbers and Decimals Fractions and Decimal Equivalents compare and Order Decimals Compare and Order Decimals and Mixed Numbers

Unit 22 Add and Subtract Decimals Round Decimals Estimate Decimals Sums and Differences Add and Subtract Decimals

Unit 23 Probability/Algebra and Graphing Probability probability as a Fraction Make Predictions Find Probability

Unit 24 Algebra and Graphing Locate Points on a Grid Graph Ordered pairs Graph functions Integers

ST. PAUL LUTHERAN

GRADE 5 MATHEMATICS CURRICULUM

Page 1

Revised 2/1/2015TIME ALLOTMENT/CALENDAR:Approximately 45 minutes a day5 days a week

LEARNER OUTCOMES: By the end of the fifth grade, each student will:1. Read, write and identify place value in whole numbers and decimals.

2. Round, order and compare whole numbers and decimals.

3. Compare integers and positive and negative decimals.

4. Add and subtract whole numbers and decimals.

5. Write, evaluate, and solve expressions and equations.

6. Multiply by one and two-digit numbers.

7. Estimate quotients.

8. Divide by one and two-digit divisors.

9. Find the mean of data.

10. Convert between customary units of length, capacity, and mass.

11. Convert between metric units of length, capacity, and mass.

12. Add and subtract integers.

13. Represent and interpret data in graphs and plots.

14. Find the mean, median, mode, and range of a set of data.

15. Determine combinations and find probabilities.

16. Write the prime factorization of a number and use rules for divisibility.

17. Find common factors, greatest common factors, common multiples, and least common multiples.

18. Add and subtract fractions and mixed numbers.

19. Multiply fractions and mixed numbers.

ST. PAUL LUTHERAN


Page 2LEARNER OUTCOMES: (continued)

20. Divide fractions, whole numbers, and mixed numbers by a fraction or a mixed number.

Revised 2/1/201521. Multiply and estimate products of whole numbers and decimals.

22. Divide a decimal by a whole number, a whole number by a decimal and a decimal by a decimal.

23. Identify basic geometric figures.

24. Identify congruent figures.

25. Identify figures with line and rotational symmetry.

26. Find perimeter and area.

27. Find volume of space figures.

28. Read, write, and use ratios, rates, unit rates, and equal ratios.

29. Relate fractions, decimals, and percents.

30. Find percent of a number.

31. Graph integers on a coordinate plane.

32. Complete function tables and graph a line on a coordinate plane.

33. Analyze and solve problems using skills and strategies.

TEACHING/LEARNING MATERIALS:

Mathematics – Houghton Mifflin, Boston, 2007 Adapted Mind math, multiplication.com, www.mathisfun.com and www.ix/.com Other various reference materials brought in by the teacher from Internet or other sources


1. Direct student use of textbook under teacher guidance.2. Use of video presentations to aid learning.3. Question and answer and class discussion techniques4. Teacher led explanations and presentations5. Board and seat practice6. Partner/Group problem solving7. Hands on manipulatives

ST. PAUL LUTHERAN


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TEACHING/LEARNING PROCEDURES (cont’d):

8. Smartboard for practice problems

http://www.mathisfun.com/

Revised 2/1/20159. Flashcards – multiplication and Around the World10.Timed multiplication and division tests

COURSE OUTLINE:

Unit 1 Place value of whole numbers and decimals, Addition and Subtraction

Unit 2 Multiplication, division, and algebra

Unit 3 Measurement/data and graphing

Unit 4 Addition and subtraction of fractions and decimals

Unit 5 Multiplication and division of fractions and decimals

Unit 6 Geometry and measurement

Unit 7 Ratio, proportion, percent, and probability

Unit 8 Algebra, integers, and coordinate graphing

ST. PAUL LUTHERAN


Page 1

TIME ALLOTMENT/CALENDAR:

Revised 2/1/2015Approximately 50 minutes a day/5 days a week

LEARNER OUTCOMES: By the end of the sixth grade, each student will:

1. Read, write and identify place value in whole numbers and decimals.

2. Round, order and compare whole numbers and decimals.

3. Compare integers and positive and negative decimals.

4. Add and subtract whole numbers and decimals.

5. Write, evaluate, and solve expressions and equations

6. Multiply by one and two-digit numbers.

7. Estimate quotients.

8. Divide by one and two-digit divisors.

9. Find the mean of data.

10.Convert between customary units of length, capacity, and mass.

11.Convert between metric units of length, capacity, and mass.

12.Add and subtract integers.

13.Represent and interpret data in graphs and plots.

14.Find the mean, median, mode, and range of a set of data.

15.Determine combinations and find probabilities.

16.Write the prime factorization of a number and use rules for divisibility.

17.Find common factors, greatest common factors, common multiples, and least common multiples.

18.Add and subtract fractions and mixed numbers.

19.Multiply fractions and mixed numbers.

ST. PAUL LUTHERAN


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LEARNER OUTCOMES: (continued)20.Divide fractions, whole numbers, and mixed numbers by a fraction or a mixed number.

Revised 2/1/201521.Multiply and estimate products of whole numbers and decimals.

22.Divide a decimal by a whole number, a whole number by a decimal and a decimal by a decimal.

23. Identify basic geometric figures.

24. Identify congruent figures.

25. Identify figures with line and rotational symmetry.

26.Find perimeter and area.

27.Find volume of space figures.

28.Read, write, and use ratios, rates, unit rates, and equal ratios.

29.Relate fractions, decimals, and percents.

30.Find percent of a number.

31.Graph integers on a coordinate plane.

32.Complete function tables and graph a line on a coordinate plane.

33.Analyze and solve problems using skills and strategies.

TEACHING/LEARNING MATERIALS:

McDougal Littell Math Course 1 : McDougal Littell; Evanston, Il; 2007. Other various reference materials brought in by the teacher from Internet or other sources.


Direct student use of textbook under teacher guidance. Use of video presentations to aid learning. Question and answer and class discussion techniques. Teacher led explanations and presentations. Board and seat practice.

ST. PAUL LUTHERAN


Page 3

COURSE OUTLINE:

Revised 2/1/2015Unit 1 Number sense and algebraic thinking

Unit 2 Measurement and statistics

Unit 3 Decimal addition and subtraction

Unit 4 Decimal multiplication and division

Unit 5 Number patterns and fractions

Unit 6 Addition and subtraction of fractions

Unit 7 Multiplication and division of fractions

Unit 8 Ratio, proportion, and percent

Unit 9 Geometric figures

Unit 10 Geometry and measurement

Unit 11 Integers

Unit 12 Equations and functions

Unit 13 Probability and statistics

ST. PAUL LUTHERAN


Page 1

TIME ALLOTMENT/CALENDAR:5 days a week/50 minutes a day

Revised 2/1/2015LEARNER OUTCOMES:By the end of seventh grade, each student will:

1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

2. Understand meanings of operations and how they relate to one another.3. Understand patterns, relations, and functions.4. Represent and analyze mathematical situations and structures using algebraic symbols.5. Use mathematical models to represent and understand quantitative relationships.6. Analyze characteristics and properties of two and three dimensional geometric shapes.7. Specify locations and describe spatial relationships using coordinate geometry and other

representational systems.8. Understand measurable attributes of objects and the units, systems and processes of

measurement.9. Formulate questions that can be addressed with data and collect, organize and display data to

answer them.10.Build new mathematical knowledge through problem solving.11.Recognize reasoning and proof as aspects of mathematics.12.Understand how mathematical ideas interconnect and build on another to produce a coherent

whole.

Teaching/Learning Procedures: Direct student use of textbook under teacher guidance. Use of video presentations to aid learning. Question and answer and class discussion techniques. Teacher led explanations and presentations. Board and seat practice.

Basic Teaching/Learning Materials:McDougal Littell Math (Course 2) TextbookMcDougal Littell Math (Course 2) Assessment BookAdditional resources

ST. PAUL LUTHERAN


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COURSE OUTLINE:Chapter 1: Number Sense, Patterns, and Algebraic Thinking Describing patterns Variables and Expressions Powers and Exponents

Revised 2/1/2015 Order of Operations Equations and Mental Math Perimeter and Area A Problem Solving Plan

Chapter 2: Decimal Operations Comparing, Ordering, and Rounding Decimals Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Scientific Notation Measuring in Metric Units Converting Metric Units

Chapter 3: Data and Statistics Mean, Median, and Mode Bar Graphs and Line Graphs Stem-and-Leaf Graphs Box-and-Whisker Plots Histograms Appropriate Data Displays

Chapter 4: Number Patterns and Fractions Prime Factorization Greatest Common Factor Equivalent Fractions Least Common Multiple Comparing and Ordering Fractions Mixed Numbers and Improper Fractions Fractions and Decimals

Chapter 5: Fraction Operations Adding and Subtracting Fractions Adding and subtracting Mixed Numbers Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed Numbers Measuring in Customary Units Converting Customary Units

ST. PAUL LUTHERAN


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COURSE OUTLINE (continued):

Chapter 6: Integers Comparing and Ordering Integers Adding Integers

Revised 2/1/2015 Subtracting Integers Multiplying Integers Dividing Integers Rational Numbers The Distributive Properties The Coordinate Plane

Chapter 7: Equations, Inequalities, and Functions Writing Expressions and Equations Simplifying Expressions Solving Addition and Subtraction Equations Solving Multiplication and Division and Equations Solving Inequalities Functions and Equations Graphing Functions

Chapter 8: Ratios and Proportions Ratios Rates Slope Writing and Solving Proportions Solving Proportions Using Cross Products Scale Drawings and Models

Chapter 9: Percents Percents and Fractions Percents and Proportions Percents and Decimals The Percent Equation Circle Graphs Percent of Increase and Decrease Discounts, Markups, Sales Tax, and Tips Simple Interest

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Chapter 10: Geometric Figures Angles Special Pairs of Angles Triangles

Revised 2/1/2015 Polygons Similar and Congruent Polygons Using Proportions with Similar Polygons Transformations and Symmetry Transformations in the Coordinate Plane

Chapter 11: Measurement and Area Square Roots Approximating Square Roots The Pythagorean Theorem Area of a Parallelogram Areas of Triangles and Trapezoids Circumference of a Circle Area of a Circle

Chapter 12: Surface Area and Volume Classifying Solids Sketching Solids Surface Area of Rectangular Prisms Surface Area of Cylinders Volume of Rectangular Prisms Volume of Cylinders

Chapters 13: Probability Introduction to Probability Tree Diagrams The Counting Principle Permutations and Combinations Disjointed Events Independent and Dependent Events

ST. PAUL LUTHERAN


Page 1


LEARNER OUTCOMES:

Revised 2/1/2015By the end of eighth grade, each student will:

1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.2. Understand meanings of operations and how they relate to one another.3. Understand patterns, relations, and functions.4. Represent and analyze mathematical situations and structures using algebraic symbols.5. Use mathematical models to represent and understand quantitative relationships.6. Analyze characteristics and properties of two and three dimensional geometric shapes.7. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.8. Understand measurable attributes of objects and the units, systems and processes of measurement.9. Formulate questions that can be addressed with data and collect, organize and display data to answer them.10. Build new mathematical knowledge through problem solving.11. Recognize reasoning and proof as aspects of mathematics.12. Understand how mathematical ideas interconnect and build on another to produce a coherent whole

Basic Teaching/Learning Materials:McDougal Littell Math (Course 2) TextbookMcDougal Littell Math (Course 2) Assessment Book

Teaching/Learning Procedures:

Direct student use of textbook under teacher guidance. Use of video presentations to aid learning. Question and answer and class discussion techniques. Teacher led explanations and presentations. Board and seat practice.

ST. PAUL LUTHERAN


Page 2

COURSE OUTLINE:

Chapter 1: Variables and Equations Interpreting Graphs Order of Operations

Revised 2/1/2015 Variables and Expressions Powers and Exponents Equations and Solutions Variables in Familiar Formulas A Problem Solving Plan

Chapter 2: Integer Operations Integers and Absolute Value Adding Integers Subtracting Integers Multiplying Integers Dividing Integers Number Properties The Distributive Property The Coordinate Plane

Chapter 3: Solving Equations and Inequalities Solving Equations using Addition Solving Equations using Multiplication Solving Two-Step Equations Writing Two-Step Equations Applying Geometric Formulas Solving Inequalities Using Addition Solving Inequalities Using Multiplication

Chapter 4: Factors, Fractions, and Exponents Factors and Prime Factorization Greatest Common Factorization Least Common Multiple Comparing Factors and Mixed Numbers Rules of Exponents Negative and Zero Exponents Scientific Notation

ST. PAUL LUTHERAN


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Chapter 5: Rational Number Operations Fractions with Common Denominators Fractions with Different Denominators

Revised 2/1/2015 Multiplying Fractions Dividing Fractions Fractions and Decimals Adding and Subtracting Decimals Multiplying and Dividing Decimals Mean, Median, and Mode

Chapter 6: Multi-Step Equations and Inequalities Solving Multi-Step Equations Solving Equations with Variables on Both Sides Solving Equations involving Circumference Solving Multi-Step Inequalities Problem Solving and Inequalities

Chapter 7: Ratio, Proportion, and Percent Ratios and Rates Writing and Solving Proportions Solving Percent Problems Fractions, Decimals, and Percent Percent of Change Percent Applications Using the Percent Equations Simple Probability

Chapter 8: Polygons and Transformations Angle Pairs Angles and Triangles Quadrilaterals Polygons and Angles Congruent Polygons Reflections and Symmetry Translations and Rotations Similarity and Dilations

ST. PAUL LUTHERAN


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COURSE OUTLINE (continued):Chapter 9: Real Numbers and Right Triangles Square Roots Rational and Irrational Numbers The Pythagorean Theorem

Revised 2/1/2015 Using the Pythagorean Theorem Special Right Triangles Using Trigonometric Ratios Chapter 10: Measurement, Area, and Volume Areas of Parallelograms and Trapezoids Areas of Circles Three-Dimensional Figures Surface Areas of Prisms and Cylinders Surface Areas of Pyramids and Cones Volume of Prisms and Cylinders Volume of Pyramids and Cones

Chapter 11: Linear Equations and Graphs Relations and Functions Scatter Plots Equations and Two Variables Graphs of linear Equations Using Intercepts Slope Slope Intercept Form Graphs of Linear Inequalities Chapter 12: Data Analysis and Probability Stem-and-Leaf Plots Box-and-Whisker Plots Using Data Displays Counting Methods Permutations Combinations Probability and Odds Independent and Dependent Events Chapter 13: Polynomials and Functions Polynomials Adding and Subtracting Polynomials Monomials and Powers Multiplying Binomials Nonlinear FunctionsST. PAUL LUTHERAN

ALGEBRAMATHEMATICS CURRICULUM

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Revised 2/1/2015LEARNER OUTCOMES:By the end of Algebra, each student will....1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.2. Understand meanings of operations and how they relate to one another.3. Understand patterns, relations, and functions.4. Represent and analyze mathematical situations and structures using algebraic symbols.5. Use mathematical models to represent and understand quantitative relationships.6. Analyze characteristics and properties of two and three dimensional geometric shapes.7. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.8. Understand measurable attributes of objects and the units, systems and processes of measurement.9. Formulate questions that can be addressed with data and collect, organize and display data to answer them.10. Build new mathematical knowledge through problem solving.11. Recognize reasoning and proof as aspects of mathematics.12. Understand how mathematical ideas interconnect and build on another to produce a coherent whole.

BASIC TEACHING/LEARNING MATERIALS:McDougal Littell Algebra 1 TextbookMcDougal Littell Algebra 1 Assessment BookAdditional teacher resources

BASIC TEACHING/LEARNING PROCEDURES: Direct student use of textbook under teacher guidance. Use of video presentations to aid learning. Question and answer and class discussion techniques. Teacher led explanations and presentations. Board and seat practice.

ST. PAUL LUTHERAN


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COURSE OUTLINE:

Chapter 1: Expressions, Equations, and Functions Evaluate Expressions Apply Order of Operations

Revised 2/1/2015 Write Expressions Write Equations and Inequalities Use Problem Solving Plan Represent Functions as Rules and Tables Represent Functions as Graphs

Chapter 2: Properties of Real Numbers Use Integers and Rational Numbers Add Real Numbers Subtract Real Numbers Multiply Real Numbers Apply the Distributive Property Divide Real Numbers Find Square Roots an Compare Real Numbers Chapter 3: Solving Linear Equations Solve One-step Equations Solve Two-step Equations Solve Multi-step Equations Solve Equations with Variables on Both Sides Solve Proportions Using Cross Products Solve Percent Problems Rewrite Equations and Formulas

Chapter 4: Graphing Linear Equations and Functions Plot Points in a Coordinate Plane Graph Linear Equations Graph Using intercepts Find Slope and Rate of Change Graph Using Slope-intercept Form Model Direct Variation Graph Linear Functions

ST. PAUL LUTHERAN


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Chapter 5: Writing Linear Equations Write Linear Equations in Slope-intercept Form Use Linear Equations in Slope-intercept Form Write Linear Equations in Point-slope Form

Revised 2/1/2015 Write Linear Equations in Standard Form Write Equations of Parallel and Perpendicular lines Fit a Line to Data Predict with Linear Models

Chapter 6: Solving and graphing Linear Inequalities Solve Inequalities Using Addition and Subtraction Solve Inequalities Using Multiplication and Division Solve Multi-Step Inequalities Solve Compound Inequalities Solve Absolute Value Equations Solve Absolute Value Inequalities Graph Linear Inequalities in Two Variables.

Chapter 7: Systems of Equations and Inequalities Solve Linear Systems by Graphing Solve Linear Systems by Substitution Solve Linear Systems by Adding and Subtracting Solve Linear systems by Multiplying First Solve Special Types of Linear Systems Solve Systems of Linear Inequalities

Chapter 8: Exponents and Exponential Functions Apply Exponent Properties Involving Products Apply Exponent Properties Involving Quotients Define and use Zero and Negative Exponents Use Scientific Notation Write and Graph Exponential Growth Functions Write and Graph Exponential Decay Functions

Chapter 9: Polynomials and Factoring Add and Subtract Polynomials Multiply Polynomials Find Special Products of Polynomials Solve Polynomial Equations in Factored Form Factor x Squared + bx + c Factor ax Squared + bx + c Factor Special Products Factor Polynomials Completely

ST. PAUL LUTHERAN


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COURSE OUTLINE(continued):

Chapter 10: Quadratic Equations and Functions Graph y=ax squared + c

Revised 2/1/2015 Graph y=ax squared + bx + c Solve Quadratic Equations by Graphing Use Square Roots to Solve Quadratic Equations Solve Quadratic Equations by Completing the Square Interpret the Discriminant

Chapter 11: Radicals and Geometry Connections Graph Square Root Functions Simplify Radical Expressions Solve Radical Equations Apply the Pythagorean Theorem and Its Converse Apply the Distance and Midpoint Formulas

Chapter 12: Rational Equations and Functions Model Inverse Variation Graph Rational Functions Divide Polynomials Simplify Rational Expressions Multiply and Divide Rational Expressions Add and Subtract Rational Expressions Solve Rational Equations

Chapter 13: Probability and Data Analysis Find Probabilities and Odds Find Probabilities Using Permutations Find Probabilities Using Combinations Find Probabilities of Compound Events Analyze Surveys and Samples Use Measures of Central Tendency and Dispersion Interpret Stem-and-Leaf Plots and Histograms Interpret Box-and-Whisker Plots

Mathematics · Web viewMathematics Curriculum 2/1/2015 Serve him with the ruler and the calculator....

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