New Pacing Guide

8/14/2019 New Pacing Guide

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North Carolina Standard Course of Study and Lee County Schools Pacing GuideMathematics: Grade 7

NC Standard Course of Study - 7th Grade Mathematics

Major Concepts/Skills Concepts/Skills to Maintain Strands

Computation with rational numbers

Ratio and proportion Factors and multiples

Volume and surface area

Measures of central tendency

Box plots and histograms

Equations and inequalities

Students will solve relevant andauthentic problems usingappropriate technology and applythese concepts as well as thosedeveloped in earlier years

Number properties

Percent Transformations in the coordinate

plane Probability

Number and Operations

Measurement Geometry Data Analysis and Probability Algebra

Goal 1 The learner will understand and compute with rational numbers

(20-25% of EOG)

9 Weeks

Objective 1st 2nd 3rd 4th

1.01 Develop and use ratios, proportions, and percents to solve problems. 1.02 Develop fluency in addition, subtraction, multiplication, and division of rational numbers.

aAnalyze computational strategies.

bDescribe the effect of operations on size

c

Estimate the results of computations

dJudge the reasonableness of solutions

1.03

Develop flexibility in solving problems by selecting strategies and using mental computation,estimation, calculators or computers, and paper and pencil.

Goal 2 The learner will understand and use measurement involving two- and three-dimensional figures

(10-15% of EOG)

9 Weeks


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2.01 Draw objects to scale and use scale drawings to solve problems. 2.02 Solve problems involving volume and surface area of cylinders, prisms, and composite shapes.

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NC Standard Course of Study - 7th Grade Mathematics, continued

Goal 3 The learner will understand and use properties and relationships in geometry.(20-25% of EOG)

9 WeeksObjective 1st 2nd 3rd 4th

3.01 Using three-dimensional figures a

Identify, describe, and draw from various views (top, side, front, corner)

bBuild from various views.

cDescribe cross-sectional views.

3.02

Identify, define, and describe similar and congruent polygons with respect to angle measures,length of sides, and proportionality of sides.

3.03Use scaling and proportional reasoning to solve problems related to similar and congruentpolygons.

Goal 4 The learner will understand and use graphs and data analysis(20-25% of EOG)

9 Weeks


4.01 Collect, organize, analyze, and display data (including box plots and histograms) to solveproblems.

4.02 Calculate, use, and interpret the mean, median, mode, range, frequency distribution, and inter-quartile range for a set of data.

4.03 Describe how the mean, median, mode, range, frequency distribution, and inter-quartile range of aset of data affect its graph.

4.04 Identify outliers and determine their effect on the mean, median, mode, and range of a set of data. 4.05 Solve problems involving two or more sets of data using appropriate statistical measures.

Goal 5 The learner will understand and use graphs and data analysis

(25-30% of EOG)

9 Weeks


5.01 Identify, analyze, and create linear relations, sequences, and functions using symbols, graphs,tables, diagrams, and written descriptions.

5.02 Translate among different representations of algebraic expressions, equations and inequalities.

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5.03 Use and evaluate algebraic expressions, linear equations or inequalities to solve problems. 5.04 Develop fluency in the use of formulas to solve problems.

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Lee County Schools Pacing Guide (Concise Version)

7th Grade Mathematics - Quarter 1

Time Objectives Topics Resources Teaching Notes

2 days Student Expectations

11 days 1.02, 1.03, 5.02,

5.03

Algebraic Reasoning 2-1 Exponents, 2-2 Scientific Notation, 2-3

Order of Operations, 2-7 Variables and

Algebraic Expressions, 2-8 Translate Words

into Math

8 days 1.02, 5.03, 5.04 One Step Equations 2-9 Combining Like Terms, 2-10 Equations

and Their Solutions, 2-11

Addition/Subtraction Equations, 2-12Multiplication/Division Equations

13 days 1.02, 5.03 Integers 3-1 Integers, 3-2 Coordinate Plane, 3-3

Adding Integers, 3-4 Subtracting Integers, 3-5

Multiplying and Dividing Integers, 3-6 One

Step Integer Equations, 11-1 Solving Two-

Step Equations

10 days 1.01, 1.02,5.01,

5.03

Rational Numbers 3-7 Fractions and Decimals, 3-8 Equivalent

Fractions and Mixed Numbers, 3-9 Equivalent

Fractions and Decimals, 3-10 Comparing and

Ordering Rational Numbers, 4-1 Estimate

with Decimals, 4-6 Solving Equations

Containing Decimals, 4-9 Estimate with

Fractions, 4-12 Solving Equations Containing

Fractions

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13 days 4.01, 4.02, 4.03,

4.04, 4.05, 1.03

Data Analysis 1-2 Mean, Median, Mode and Range, 1-2

Line Plot, 1-3 Frequency Tables and Stem and

Leaf Plots, 1-4 Bar Graphs and Histograms, 1-

6 Box and Whisker Plots, 1-7 Line Graphs, 1-

9 Misleading Graphs

8 days 1.01, 1.02d, 3.02,

3.03

Proportional Reasoning 5-1 Ratios and Rates, 5-2 Identifying and

Writing Proportions, 5-3 Solving Proportions,

5-5 Similar Figures and Proportions, 5-6

Using Similar Figures, 5-7 Scale Drawing

only

10 days 1.01, 1.03, 5.04 Percents 6-1 Fractions, Decimals and Percents, 6-2

Estimate with Percents, 6-4 Percent

Proportions, 6-5 Percent of Change, 6-6

Simple Interest, Teacher Material-Sales Tax,

Tip, Discounts and Total Cost

14 days 3.02 Geometry 7-1 Points, Lines and Planes, 7-2 Angles, 7-3Parallel and Perpendicular Lines, 7-4 Circles,

p. 366 Circle Graphs, 7-5 Polygons, 7-6

Triangles, 7-7 Quadrilaterals, 7-8 Angles in

Polygons, 7-9 Congruent Figures, 7-10

Transformations, 7-11 Symmetry

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8 days 5.04 Perimeter,

Circumference, Area,

8-3 Perimeter and Circumference, 8-4 Area of

Parallelograms, 8-5 Area of Triangles and

Trapezoids, 8-6 Area of Circles, p. 456 Area

of composite Figures

11 days 2.02, 3.01 Surface Area 9-1 Introduction to 3-D Figures, Teacher

Material-Identify and describe 3-D figures for

various views, 9-4 Surface Area of Prism and

Cylinders only, p. 498 Surface Area of

Composite Shapes

8 days 2.02, 3.01a, 5.04 Volume 9-2 Volume of Prisms and Cylinders, Teacher

Material-Volume Comparisons, 9-3 Volume

of Pyramids and Cones only

15 days 5.02, 5.03 Multi-Step Equations 11-1 Two Step Equations, 11-2 Solving

Multi-Step Equations, 11-3 Solving Equations

with Variables on Both Sides, 11-4

Inequalities, 11-5 Solving Inequalities by

Adding or Subtracting, 11-6 Solving

Inequalities by Multiplying or Dividing, 11-7

Solving Two- Step Inequalities

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10 days Catch Up Start 32 Days Countdown to Testing

8days 1.02d, 5.01 Graphs and Functions 12-1 Introduction to Functions, 12-3Interpreting Graphs, 12-4 Linear Functions,12-6 Nonlinear Functions

15 days All EOG Review

10 days Post EOG Extensions After EOG activities (Origami, Line Designs,Pythagorean Theorem, etc.)

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Lee County Schools Pacing Guide (Extended Version)


Day Objective Essential Questions Focus and Sources Tasks and Strategies Essential Vocabulary

1 Diagnostic test Student expectations

2 Diagnostic test Student expectations

3 1.02 Can students represent numbers byusing exponents?

Exponents Textbook Section 2-1 cubed; squared; base;exponent; power

4 1.03 Can students express numbers greater than one in scientific notation?

Scientific notation Textbook Section 2-2 standard form;scientific notation

5 1.03 Can students express numbers greater than one in scientific notation?

Scientific notation Textbook Section 2-2

6 1.02 Can students simplify expressions usingOrder of Operations using parenthesesand exponents?

Order of Operations Textbook Section 2-3 numerical expression;order of operations;PEMDAS; simplify

7 1.02 Can students simplify expressions usingOrder of Operations using parenthesesand exponents?

Order of Operations Textbook Section 2-3

8 5.03 Can students evaluate algebraicexpressions?

Variables andAlgebraicExpressions

Textbook Section 2-7 variable; constant;algebraic expressions;evaluate

9 5.02 Can students translate words intonumbers variable and operations?

Translate words intoMath

Textbook Section 2-8 verbal expression

10 5.03 Can students determine whether anumber is a solution of an equation?

Equations and TheirSolutions

Textbook Section 2-10 equation; solution

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7th Grade Mathematics - Quarter 1, continued


11 1.02 & 5.03 Can students solve one-step additionand subtraction equations?

Addition andSubtractionEquations

Textbook Section 2-11 solve; isolate thevariable; inverseoperations

12 1.02 & 5.03 Can students solve one-stepmultiplications and division equations?

Multiplication andDivision Equations

Textbook Section 2-12

13 1.02 Can students determine appropriatevocabulary for integers?

Integers Teacher Material positive (above sealevel, increase; above

par, deposit; abovezero, etc.);negative( below sealevel, loss of yardage,withdrawal, belowzero, etc.); integer

14 1.02 Can students compare, order, anddetermine absolute value?

Integers Textbook Section 3-1 absolute value;opposite

15 1.02 Can students add integers? Adding integers Hands on Lab bk p. 144-145 &Teacher Material

Modeling addition ofintegers using chips

16 1.02 Can students add integers? Adding integers Textbook Section 3-3

17 1.02 Can students subtract integers? Subtracting integers Textbook Section 3-4

18 Review Adding andSubtracting Integers

Teacher Material

19 1.02 Can students multiply and divideintegers?

Multiplying andDividing Integers


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20 1.02 & 5.03 Can students solve one-step integerequations using addition andsubtraction?

One-step addition andsubtraction integerequation


21 1.02 & 5.03 Can students solve one-step integerequations using multiplication anddivision?

One-stepmultiplication anddivision integerequation


22 5.03 & 5.04 Can students combine like terms? Combining like termsDistributive property

Textbook Section 2-9&Teacher Material

term; coefficient; liketerms; distributive

property23 5.02 & 5.03 Can students use the distributiveproperty?

24 5.02 & 5.03 Can students solve two-step equationsusing whole numbers?

Two-step equations Teacher Material

25 5.02 & 5.03 Can students solve two-step equationsusing integers?

Two-step equations Textbook Section 11-1

26 Review Two-step equations

27 5.03 Can students solve multi-stepequations?

Multi-step equations Textbook Section 11-2

28 Review Multi-step equations

29 1.01 & 1.02 Can students identify, write and convertbetween equivalent fractions and mixednumbers?

Equivalent Fractionsand Mixed Numbers

Textbook Section 3-8 equivalent andimproper fractions;mixed numbers

30 1.02 Can students identify rational numbersand graph them on a number line?

Fractions andDecimals

Textbook Section 3-7 rational number

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31 1.02 Can students convert fractions todecimals?

Equivalent fractionsand Decimals

Textbook Section 3-9 terminating andrepeating decimals

32 1.02 Can students compare and order fractions and decimals?

Comparing andOrdering Rational

Numbers


33 1.02c & 1.03 Estimate with Decimals and RoundingDecimals

Textbook Section 4-1 compatible decimals;decimal place values

34 1.02 & 1.02c &1.03

Can students add and subtract decimals? Adding andSubtracting Decimals


35 1.02 & 1.02c &1.03

Can students multiply decimals? Multiplying decimals Textbook Section 4-3

36 1.02 & 1.02c &1.03

Can students divide decimals? Dividing Decimals byIntegers


37 1.02 & 1.02c &1.03

Can students divide decimals andintegers by decimals?

Dividing Decimalsand Integers bydecimals


38 1.02c & 1.03 Can students estimate sums anddifferences of fractions?

Estimate withFractions


39 1.02 Can students add and subtract fractions? Add and SubtractFractions

Textbook Section 4-10 LCM

40 1.02 Can students add and subtract mixednumbers?

Add and SubtractMixed Numbers

Textbook Section 4-11 regroup

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Day Objective Essential Questions Focus and

Sources

Tasks and

Strategies

Essential

Vocabulary

9-10 4.01 & 4.02 &4.03

Can students display andanalyze data in box-and-whisker

plot?

Box-and-WhiskerPlot


box-and-whiskerplot (box plot);lower extreme; firstquartile (lowerquartile); secondquartile (median);third quartile (upperquartile); upperextreme; range;outlier; interquartile

range

11 4.01 & 4.02 &4.03

Can students display andanalyze data in box-and-whisker

plot?

Box-and-WhiskerPlot

Teacher Material

12 1.01 Can students identify, write, andcompare ratios and rates?

Ratios and Rates Textbook Section 5-1

ratio; rate; unit rate;unit pricing

13 1.01 Can students find equivalentratios and identify proportions?

Identifying andWriting

Proportions


equivalent ratios;proportion

14 1.01 & 1.02d Can students solve proportionsby using cross products?

Solving Proportion Textbook Section 5-3

cross product

15 1.01 & 1.02d Can students solve proportionalword problems?

Solving Proportion Teacher Material

16 1.01 & 2.01 &3.02

Can students use ratios todetermine if tow figures aresimilar?

Similar Figuresand Proportions


similar;corresponding sides;corresponding

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angles

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17 1.01 & 2.01 &3.03

Can students use similar figures to findunknown lengths?

Using SimilarFigures

Textbook Section 5-6 indirect measurement

18 1.01 & 1.02b &2.01 & 3.03

Can students understand ratios andproportions in scale drawings and useratios and proportions with scale?

Scale Drawings andScale Models

Textbook Section 5-7Scale Drawing Project(comic strip)

scale model; scalefactor; scale; scaledrawing

19 1.01 Can students write equivalentfractions, decimals, and percents

Fractions,Decimals, andPercents

Textbook Section 6-1 percent

20 1.01 & 1.03 Can students estimate percents? Estimate withPercents


22 1.01 & 1.03 Can students find the missingpercent or missing number?

Percent Proportions Textbook Section 6-3& 6-4

23 1.01 & 1.03 Percent Proportions Teacher Material

24-25 1.01 Can students solve problemsinvolving percent of change?

Percent of Change Textbook Section 6-5 percent of change;percent of increase;

percent of decrease,markup

26-27 1.01 Can students find commission, salestax, discounts, total cost, and tip?

Sales Tax, Tip;Discounts, andTotal Cost

Teacher Material sales tax; discounts;total cost; tip;commission

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28-29 1.01 Sales Tax, Tip;Discounts, andTotal Cost

30 5.04 Can students solve problemsinvolving simple interest?

Simple Interest Textbook Section 6-6 interest; simpleinterest; principal;tax; time;I=PRT(Indian preferRed Tomatoes)

31-45 3.02

Review

Review Basic Geometric Principals GeometricVocabulary

7-1 Points, Lines andPlanes, 7-2 Angles, 7-3 Parallel andPerpendicular Lines,7-4 Circles, p. 366Circle Graphs, 7-5Polygons, 7-6Triangles, 7-7Quadrilaterals, 7-8Angles in Polygons, 7-9 Congruent Figures,

7-10 Transformations,7-11 Symmetry

Page.344 to page399

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1-8 5.04 Review Basic Geometric Principals Perimeter and Areaof Triangle

Textbook Section 8-3 &8-5 & Teacher Material

Perimeter and Areaof Trapezoid


Circumference andArea of a Circle


Area of

Parallelograms

Textbook section 8-4

Area of a circle Textbook Section 8-6

Area of compositefigures

Page 456

9-10 3.01a & 3.01c Can students identify various three-dimensional figures?

Introduction to 3-DFigures

Textbook Section 9-1 face; edge; vertex;base; polyhedron;prism; pyramid;lateral; surface;cylinder; cone;

rectangular prism;triangular prism

11-12 3.01 Can students identify, describe, anddraw from various views (top, side,front, and corner)?

Using 3-D Figures Teacher Material

?

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15 2.02 & 3.01a Can students find the surface area ofrectangular prisms?

Surface Area ofRectangular Prisms

Textbook Section 9-4 &Teacher Material

net; surface area

16 2.02 & 3.01a Surface Area of Rectangular Prisms

Teacher Material

17 2.02 & 3.01a Can students find the surface area oftriangular prisms?

Surface Area ofTriangular Prisms

Teacher Material

18 2.02 & 3.01a Surface Area of Triangular Prisms

Teacher Material

19 2.02 & 3.01a Can students find the surface area ofcylinders?

Surface Area ofCylinders


20-21 2.02 & 3.01a Can students find the surface area ofcomposite area shapes?

Surface Area ofComposite Shapes

Teacher SectionExtension p.498 &Teacher Material

22-24 2.02, 3.01a &5.04

Can students find the volume of Prismsand Cylinders?

Volume of Prismsand Cylinders

Textbook Section 9-2 volume; cube

25-27 2.02, 3.01a &5.04

Can students find the volume ofPyramids and Cones?

Volume of Pyramidsand Cones


28-29 2.02, 3.01a &5.04

Can students compare the volume ofcones and cylinders and pyramids and

prisms also?

Volume comparisons Teacher materials

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30-31 1.02 & 5.03 Review Integers and2-step equations Teacher materials

32-33 5.02 & 5.03 Can students read and write inequalitiesand graph them on a number line?

Inequalities Textbook Section 11-4 inequality; algebraicinequality; solutionset; compoundinequality

34 5.03 Can students solve one-step inequalitiesby adding or subtracting?

Solving inequalitiesby adding orsubtracting


35-37 5.03 Can students solve one-step inequalitiesby multiplying or dividing?

Solving inequalitiesby multiplying ordividing


38-39 5.02 & 5.03 Can students solve two-stepinequalities?

Solving two-stepinequalities


40 Review Solving two-step inequalities

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