Post on 20-Jul-2020
Grade Level: 6 Course Title: Math Topic/Concept: Place Value: Addition and Subtraction
Time Allotment: 2 weeks Unit Sequence: 1
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Place Value 2. Addition and Subtraction
1. Students will be able to read, write, compare, and understand whole numbers and properties. 2. Students will be able to explore algebra. 3. Students will be able to use six point problem solving checklist.
M6.A.1.2.1 M6.A.2.1.1 M6.D.2.2.1
M6.A.1.2 M6.A.2.1 M6.D.2.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Multiply & Divide Whole Numbers
Time Allotment: 2 weeks Unit Sequence: 2
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Multiply Whole Numbers 2. Divide By 1&2 Digits 3. Exponents 4. Order of Operations
1. Students will be able to estimate products and quotients of whole numbers 2. Students will be able to mulitiply whole numbers 3. Students will be able to divide whole numbers
M6.A.1.2.1 M6.A.1.1.3
M6.A.1.
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Number Theory
Time Allotment: 2 weeks Unit Sequence: 3
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Prime and Composite Numbers 2. Prime Factorization 3. Greatest common factor 4. Least common multiple 5. Divisibility Rules
1. Distinguish between prime and composite numbers 2. Express composite numbers as products of prime numbers in exponent form 3. Find the greatest common factor of two or more numbers 4. Find the lcm of two or more numbers
M6.A.1.3.1 M6.A.1.3.2 M6.A.1.3.3
M6.A.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Fraction and Decimal Concepts
Time Allotment: 1 week Unit Sequence: 4
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Equivalent Fractions 2. Compare and Order Fractions and Decimals 3. Relate Fractions, Mixed Numbers, and Decimals 4. Relate Decimals and Percents
1. Find equivalent fractions 2. Write fractions in equivalent form 3. Convert between fractions, mixed numbers, percents, and decimals 4. Compare and order fractions, mixed numbers, and decimals
M6.A.1.1.1,2,4 M6.A.1.2.1
M6.A.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Add and Subtract Fractions
Time Allotment: 1 week Unit Sequence: 5
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Estimating sums and differences 2. Add and Subtract like/unlike denominators
1. Estimate sums and differences of fractions and mixed numbers 2. Add and subtract like/unlike denominators
M6.A.3.2.1 M6.A.1.2.1
M6.A.1 M6.A.3
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Multiply and Divide Fractions
Time Allotment: 1 week Unit Sequence: 6
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Estimating products and quotients 2. Multiply and divide fractions and mixed numbers
1. Estimating products and quotients 2. Multiply and divide fractions and mixed numbers
M6.A.3.2.1 M6.A.1.2.1
M6.A.1 M6.A.3
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Multiply and Divide Decimals
Time Allotment: 2weeks Unit Sequence: 7
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Multiply and Divide with Powers of Ten 2. Multiply and Divide Decimals
1. Multiply and divide decimals 2. Multiply and divide with powers of ten 3. Identify terminating and repeating decimals
M6.A.1.1.2 M6.A.1.2.1
M6.A.1 M6.A.3
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Customary & Metric Units of Measure
Time Allotment: 2weeks Unit Sequence: 8
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Change between customary units of length, capacity, and weight 2. Use powers of ten to change from one metric unit to another 3. Perimeter and Area 4. Compute with measures that involve different units 5. Convert between customary and metric units of measure
1. Change between customary units of length, capacity, and weight 2. Use powers of ten to change from one metric unit to another 3. Compute with measures that involve different units 4. Convert between customary and metric units of measure 5. Explore perimeter and area
M6.B.2.1.1,2
M6.B.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Collect and Analyze Data
Time Allotment: 2weeks Unit Sequence: 9
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Surveys and Sampling 2. Measures of Central Tendency 3. Clusters, Gaps, and outliers 4. Draw conclusions/make predictions
1. Identify bias in sampling 2. Select a representative sample 3. Use data to make predictions 4. Describe data using mean, median, mode, and range 5. Use a line plot to show data distribution 6. Draw conclusions/make predictions based on data
M6.E.1.1.1 M6.E.2.1.1
M6.E.1 M6.E.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Graph Data
Time Allotment: 2weeks Unit Sequence: 10
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Read/Make Double Line Graphs 2. Frequency Tables/Histograms 3. Stem and Leaf Plots 4. Box and Whisker Plot 5. Misleading Data
1. Interpret and display data in graphs 2. Make and interpret frequency tables and histograms 3. Make and interpret double line graphs 4. Make and interpret stem and leaf plots 5. Make and interpret box and whisker plots 6. Interpret data displays/draw conclusions 7. Choose appropriate data display
M6.E.1.1.1 M6.E.2.1.1
M6.E.1 M6.E.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Algebra: Expressions & Equations
Time Allotment: 1week Unit Sequence: 11
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Expressions/Equations 2. Adding and Subtracting equations 3. Multiplications and Division with equations
1. Solve addition and subtraction equations 2. Solve multiplication and division equations 3. Use an equation to solve a problem 4. Write an equation/expression
M6.D.2.1.1,2
M6.D.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Algebra: Patterns, Functions, & Coordinate Plane
Time Allotment: 1week Unit Sequence: 12
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Graph points in the coordinate plane 2. Sequences and patterns 3. Graph Functions
1. Investigate functions and different ways to represent functions 2. Find, describe, and extend patterns in number sequences 3. Represent functions with graphs 4. Use graphs and functions to solve problems
M6.D.1.2.1
M6.D.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Plane Figures
Time Allotment: 2 weeks Unit Sequence: 13
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Angle Pairs 2. Transversals and Angles 3. Measure, Draw, and Classify Angles 4. Triangles and Angle sums 5. Quadrilaterals and Angle sums 6. Circles and Central Angles
1. Measure, Draw, and Classify Angles 2. Review space, point, plane, line, ray, and angle 3. Identify and explore special angle pairs 4. Explore properties of vertical, alternate, interior, and alternate exterior angles 5. Find the measure of an angle of a triangle when the measures of the other two angles are unknown 6. Use properties of quadrilaterals to find angle measures 7. Determine the measures of angles whose vertices are at the center of a circle
M6.B.2.3.1 M6.C.3.1.1 M6.C.1.1,2,3,4
M6.B.2 M6.C.1 M6.C.3
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Congruence & Construction
Time Allotment: 2 weeks Unit Sequence: 14
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Congruent and Similar Gigures 2. Polygons 3. Symmetry 4. Transformations/Transformations in the Coordinate Plane 5. Construct line segments and Angles 6. Construct Bisectors
1. Identify, classify, and draw polygons 2. Identify congruent and similar figures 3. Identify line and rotational symmetry in figures 4. Explore transformations, translations, reflections, and rotations 5. Construct Bisectors 6. Construct line segments and Angles
M6.C.1.1,2,3,4 M6.C.1
Chapter tests Worksheets
Cooperative learning CalculatorsDirect instruction/Note taking Compass Modeling Group Discussion Questioning Techniques
Grade Level: 6 Course Title: Math Topic/Concept: Ratio and Proportion
Time Allotment: 1 week Unit Sequence: 15
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Ratios and Equivalent Ratios 2. Distance, Speed, and Time 3. Write and solve proportions 4. Scale Drawing
1. Write and solve proportions 2. Use ratios to compare numbers and equivalent ratios to find a missing number 3. Use a rate to compare quantities with different units 4. Use the distance formula to find distance, speed, and time 5. Use proportions to find relationships and solve problems 6. Solve a proble by writing an equation
M6.D.1.2.1 M6.D.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Understand Percent
Time Allotment: 1 week Unit Sequence: 16
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Compare and Order Fractions, decimals, and percents 2. Estimation with percents 3. Relate fractions, decimals, and percents 4. Relate ratios and percents
1. Write equivalent ratios, decimals, and percents 2. Relate ratios and percents 3. Comparea nd order fractions, decimals, and percents 4. Use mental math to estimate with percents
M6.A.1.2.1,2,3,4 M6.A.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Use Percent
Time Allotment: 2 weeks Unit Sequence: 17
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Find a percent 2. Find a number when a percent is known 3. Use an equation to solve percent problems 4. Calculate simple interest
1. Find a percent 2. Find a number when a percent is known 3. Use an equation to solve percent problems 4. Calculate simple interest 5. Make a table to solve a problem 6. Use percents to calculate total cost with sales tax and sale prices
M6.A.1.2.1,2 M6.A.1
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Probability
Time Allotment: 2weeks Unit Sequence: 18
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Possible outcomes 2. Theoretical Probability 3. Experimental Probability 4. Compound Events 5. Combinations and Permutations
1. Find all possible outcomes of a multistep experiment 2. Find probabilities if each outcome of an experiment has the same chance of occurring 3. Identify the difference between experimental and theoretical probability 4. Find the probability of two independent and two dependent events 5. Use a model to simulate the solution to a problem 6. Find combinations and permutations 7. Use data to estimate probability
M6.E.3.1,2M6.E.3
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Perimeter, Circumference, & Area
Time Allotment: 2weeks Unit Sequence: 19
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Find the perimeter of polygons 2. Circumference 3. Area of a Parallelogram 4. Area of a triangle 5. Squares and square roots 6. Area of a Circle
1. Find the square of a number and the square root of a number 2. Calculate the area of a circle 3. Use units of measure to decide whether or not an answer is reasonable 4. Find the perimeter of a polygon 5. Find the circumference of a circle 6. Find the area of a parallelogram/triangle
M6.B.2.2 M6.B.2.2.1,2
M6.B.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Volume and Surface Area
Time Allotment: 2weeks Unit Sequence: 20
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Solid Figures 2. Two‐Dimensional Views of Solid Figures 3. Estimate Volume 4. Volume of Rectangular Prisms 5. Surface Area 6. Volume of Other Solids
1. Draw and identify different views of a solid figure 2. Use centimeter cubes to estimate the volume of a solid figure 3. Find the volume of a rectangular prism, triangular prism, a cylinder, a pyramid, and a cone 4. Find the surface area of a rectangular prism, triangular prism, and a square pyramid
M6.B.2.2 M6.B.2.2.1 M6.B.2.3 M6.B.2.3.1
M6.B.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Rational Numbers
Time Allotment: 1week Unit Sequence: 21
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Rational numbers 2. Compare and order rational numbers 3. Order of operations with rational numbers
1. Use the properties of rational numbers 2. Solve problems using rational numbers 3. Use order of operations to evaluate expressions with rational numbers 4. Identify and graph rational numbers on a number line 5. Compare and order rational numbers
M6.D.2.1M6.D.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Expressions, Equations, & Inequalities
Time Allotment: 1week Unit Sequence: 22
Major Concepts to be learned:
Expected Skills to be demonstrated: PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Equations with rational numbers 2. Inequalities 3. Expressions
1. Use properties and order of operations to evaluate algebraic expressions 2. Write algebraic expressions with rational numbers 3. Sove equations with rational numbers 4. Use guess and check strategy to solve problems 5. Use inequality symbols to solve inequalities
M6.A.1.2 M6.D.2.2
M6.A.1 M6.D.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators
Grade Level: 6 Course Title: Math Topic/Concept: Integers
Time Allotment: 2weeks Unit Sequence: 23
Major Concepts to be learned:
Expected Skills to be demonstrated:
PA Standards/Anchors: Eligible Content:
Instructional Strategies: Assessments:
1. Add and Subtract Integers 2. Multiply and Divide Integers
1. Find the sum and difference of two integers 2. Use models to multiply and divide integers 3. Find the product and quotient of two integers
M6.D.1.2 M6.D.2.2
M6.D.1 M6.D.2
Chapter tests Worksheets
Cooperative learning Direct instruction/Note taking Modeling Group Discussion Questioning Techniques Calculators