Mathematics and the World We Live In

Scope and Sequence with Resources - Grade 7

Mathematics Standards

Secondary Math Resources

These are ongoing –     

  • Identify the place value of a given digit.

  • Connect rational numbers to location on a number line.

  • Determine the results of rational number estimates and computations are reasonable.

  • Select a reasonable solution to a real-world division problem in which the remainder must be considered.

  • Solve one- and two-step real-world problems involving whole numbers, fractions, and decimals.

  •  Use a variety of models to demonstrate the relationships within the real number system (e.g. Venn diagram, webs)

 

Items marked with an * are from the textbook Glencoe Mathematics:  Applications and Concepts, Course 2, TN Edition, Copyright 2005

 

Week

BluePrint Objective

Tennessee Standard

Resources

Internet and Digital Resources

First Nine Weeks

 

1

 

Use exponential powers of whole numbers.

 

Procedures

Pre-Test (Think Link)

Powers/Exponents 1.2 *

 

 

2

 

Apply order of operations when computing with whole numbers (no more than two parentheses and no exponents).

Demonstrate understanding of different uses of variables.

Evaluate algebraic expressions given the value of two or more variables

Describe how changes in one quantity or variable result in changes in another.

Apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals.

Represent, analyze, and extend geometric and numerical patterns

Extend geometric and numerical patterns.

Develop understanding for arithmetic sequences.

7.1.7 apply order of operations when computing with whole numbers (no more than two parentheses and no exponents)

7.2.6  evaluate algebraic expressions for a given value of up to two variables

7.2.1  extend geometric and numerical patterns

Orders of Operations 1.3 *

Variables and Expressions 1.4 *

Properties 1.6 *

Sequences 1.7 *

 

 

3

 

Understand both metric and customary systems of measurement.

Convert from one unit to another within the same system.

7.4.3  convert from one unit to another within the same system

 

Metrics 1.8 *

Customary Units 6.7 *

Scientific Notation 1.9 *

Review and Test

 

 

4

 

Represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers).

Compare rational numbers using the appropriate symbol (<, >, and =).

 

Use concrete, pictorial, and symbolic representations for integers, including locations on a number line.

Use models to demonstrate meaning and effects of arithmetic operations with integers.

Analyze procedures for computing with fractions, decimals, and integers.

7.1.3  represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers)

7.1.4  compare rational numbers using the appropriate symbol (<, >, =)

Number line, Absolute Value 3.1 *

Comparing Integers 3.2 *

Adding Integers 3.4 *

 

 

5

 

Select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers in problem solving situations (e.g., mental computation, estimation, calculators, number line, computers, and paper and pencil).

 

Adding Integers 3.4 *

Multiplying 3.6 *

Dividing Integers 3.7 *

 

 

6

 

Locate and specify points on the coordinate plane.

Use ordered pairs to describe given points in a coordinate system.

Determine the distance between two points on the x- or the y-axis in Quadrant I.

Represent mathematical statements and real-world situations using symbols.

Translate one-variable verbal and written expressions into algebraic expressions.

7.3.5  use ordered pairs to describe given points in a coordinate system

7.2.5  represent mathematical statements and real-world situations using symbols

7.4.2  determine the distance between two points on the x- or the y -axis in Quadrant I

 

Coordinate Plane 3.3 *

Written Expressions 4.1 *

Review and Test

 

 

7

 

 

Solve one-step linear equations

Model algebraic equations with manipulatives, technology, and paper and pencil.

Solve real-world problems involving one-step linear equations.

7.2.7  solve one-step linear equations

7.2.8  solve real-world problems involving one-step linear equations

 

 

One-Step Equations 4.2 *

Add/Subtract Equations 4.3 *

Solve Two-Step Equations 4.4 *

 

 

8

 

Identify whole numbers that satisfy a given one-variable inequality.

Solve real-world problems involving one-step linear equations.

Apply function rules

Create function rules.

Construct tables and graphs to represent rates of change.

7.2.9  identify whole numbers that satisfy a given one-variable linear inequality

7.2.2  apply function rules

7.2.3  extend rate charts to solve real-world problems

Inequalities 4.5 *

Function Tables 4.6 *

 

 

9

 

 

 

Nine Weeks Test

 

Second Nine Weeks

 

10

 

Develop meaning for perfect squares (e.g., 1, 4, 9, and 16).

Develop meaning for square roots

7.4.1  apply formulas to determine the areas of rectangles and triangles

7.4.4  select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume

7.4.5  apply formulas to determine the area of parallelograms, trapezoids, and circles

Squares and Square Roots 11.1 *

Estimating Square Roots 11.2 *

Pythagorean Theorem 11.3 *

Perimeter and Area 6.8 *

 

 

11

 

Select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.

Understand, select, and use units of appropriate size and type to measure angles, perimeter, areas, surface area, and volume.

Estimate length, perimeter, circumference, area, and volume using a variety of strategies.

Select and apply techniques and tools to accurately measure length, perimeter, area, volume, and angles to appropriate levels of precision.

Apply formulas to determine the areas of rectangles, triangles, parallelograms, trapezoids, and circles.

7.4.1  apply formulas to determine the areas of rectangles and triangles

7.4.5  apply formulas to determine the area of parallelograms, trapezoids, and circles

7.4.6  estimate length, perimeter, circumference, area, and volume using a variety of strategies

Area of Parallelogram 11.4 *

Area of Triangles and Trapezoids 11.5 *

Circles and Circumference 6.9 *

 

 

12

 

Apply formulas to determine the areas of rectangles, triangles, parallelograms, trapezoids, and circles.

Develop and use formulas to determine the circumference of circles.

Find or estimate area of irregular and complex shape

7.4.5  apply formulas to determine the area of parallelograms, trapezoids, and circles

7.4.7  find or estimate the area of irregular and complex shapes

Area of Circles 11.6 *

Area of Complex Figures 11.7 *

 

 

13

 

Determine congruence of line segments, angles, and polygon

Classify triangles by angle, size, and length of sides.

Compare and classify triangles by angle, size, and length of sides.

Determine the measure of an angle of a triangle, given the measures of the other two angle

7.3.2  classify triangles by angle, size, and length of sides

7.3.3  determine congruence of line segments, angles, and polygons

7.3.6  termine the measure of an angle of a triangle given the measures of the other two angles

Angles 10.1 *

Angle Relationships 10.3 *

Triangles 10.4 *

 

 

14

 

Classify polygons by properties

Compare and classify polygons by properties.

Identify the results of transformations of two-dimensional figures (i.e., turns/rotations, flips/reflections, slides/translations).

7.3.4  classify polygons by properties

Quadrilaterals 10.5 *

Polygons and Tessellations 10.7 *

Translations 10.8 *

 

 

15

 

Relate symmetry and congruence to reflections (flips) about a line or to other transformations

 

 

Reflections 10.9 *

Test

 

 

16

 

 

Identify and build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa.

Apply spatial reasoning and visualization to solve real-world problems

Use appropriate tools and methods to draw geometric objects with specified properties, (e.g., side lengths, and angle measure).

Develop strategies to determine the surface area and volume of selected prisms and cylinders.

7.3.7  apply spatial reasoning and visualization to solve real-world problems

7.3.1  identify the results of transformations of two -dimensional figures (i.e., turns/rotations, flips/reflections, slides/translations)

 

Drawing Three Dimensional Figures 12.1 *

Volume of Rectangular Prism 12.2 *

 

 

17

 

Develop strategies to determine the surface area and volume of selected prisms and cylinders.

7.4.4  select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume

 

Volume of Cylinders 12.3 *

Surface Areas of Rectangular Prisms 12.4 *

Surface Areas of Cylinders 12.5  *

 

18

 

 

 

Chapter 12 Test

Review

Nine Weeks Test

 

Third Nine Weeks

 

19

 

Apply number theory concepts to solve problems (e.g., divisibility, factors, multiples, composite numbers, prime numbers, prime factorization, and relatively prime).

Identify prime and composite numbers up to 50.

7.1.1  identify prime and composite numbers up to 50

Page 554 (Divisibility Patterns)

Prime Factorization 5.1 *

GCF 5.2 *

Simplifying Fractions 5.3 *

 

 

20

 

Represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers).

7.1.3  represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers)

Fractions and Decimals 5.4 *

Fractions and Percents 5.5 *

Percents and Decimals 5.6 *

 

 

21

 

Compare rational numbers using the appropriate symbol (<, >, and =)

7.1.4  compare rational numbers using the appropriate symbol (<, >, =)

LCM 5.7 *

Comparing and Ordering Rational Numbers 5.8 *

Test

 

 

22

 

Estimate the results of rational number computations in real-world situations.

Use estimation strategies to select a reasonable solution to a computation involving rational numbers.

Compute efficiently and accurately with whole numbers, fractions, and decimals.

Select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers in problem solving situations (e.g., mental computation, estimation, calculators, number line, computers, and paper and pencil).

Understand the meaning and effects of arithmetic operations with fractions and decimals.

7.1.9  use estimation strategies to select a reasonable solution to a computation involving rational numbers

7.1.2  compute efficiently and accurately with whole numbers, fractions, and decimals

 

Estimating with Fractions 6.1 *

Page 563 (Mixed and Improper Fractions)

Adding and Subtracting Fractions 6.2 *

Adding and Subtracting Mixed Numbers 6.3 *

 

 

23

 

Compute efficiently and accurately with whole numbers, fractions, and decimals.

Understand and use the inverse relationships of addition and subtraction and multiplication and division to simplify computations and solve problems.

Understand the meaning and effects of arithmetic operations with fractions and decimals.

Select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers in problem solving situations (e.g., mental computation, estimation, calculators, number line, computers, and paper and pencil).

Identify the opposite and the reciprocal of a rational number.

7.1.2  compute efficiently and accurately with whole numbers, fractions, and decimals

7.1.5  identify the opposite and the reciprocal of a rational number

Multiplying Fractions and Mixed Numbers 6.4 *

Solving Equations (Multiplicative Inverse) 6.5 *

Dividing Fractions and Mixed Numbers 6.6 *

 

 

24

 

Use ratios to represent quantitative relationships

Understand and use ratios and proportions to represent quantitative relationships.

Develop methods for solving problems involving proportions (e.g., scaling, and finding equivalent ratios).

Use unit rates to solve problems (e.g., miles per hour, and words

per minutes).

Solve problems involving scale factors using ratios and proportions

7.4.8  solve problems involving scale factors using ratios and proportions

7.1.12  use ratios to represent quantitative relationships

7.5.8  use proportional thinking to make conjectures about results of experiments and simulations

Ratios 7.1 *

Rates 7.2 *

Solving Proportions 7.3 *

Scale Drawings 7.4 *

 

 

25

 

 

Use appropriate mathematical language to describe similarity and congruence.

Represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers).

7.3.3  determine congruence of line segments, angles, and polygons

Similar Figures 10.6 *

Fractions, Decimals, and Percents 7.5 *

 

 

26

 

Connect percents greater than 100 and percents less than one to real-world situations

Solve two-step real-world problems involving percents.

7.1.6  connect percents greater than 100 and perc ents less than one to real-world situations

 

Percents Greater than 100% Less than 100% 7.6 *

Percent of a Number 7.7, 7.8, and 8.2 *

Percent of Change 8.4 *

 

 

27

 

 

 

Sales Tax and Discount 8.5

Sales Tax 8.6 *

Nine Weeks Test

 

Fourth Nine Weeks

 

28

 

Generalize patterns in data represented in tables and graphs.

Extend rate charts to solve real-world problems

Select a scatterplot to represent data presented in tabular form.

Create a scatterplot to represent data presented in a tabular form.

Describe the relationship between two quantities represented in a scatterplot.

Interpret graphs which represent rates of change

Determine the probability for an outcome in an experiment.

Connect the symbolic representation of a probability to an experiment.

Construct a tree diagram to determine all possible outcomes of a simple event

Use a tree diagram or make an organized list to determine all possible outcomes of a simple compound event.

7.5.7  connect data sets and their graphical representation (i.e., bar graphs, stem-and-leaf plots, box plots, and scatter plots )

7.5.6  use a tree diagram or organized list to determine all possible outcomes of a simple compound event

7.5.9  connect the symbolic representation of a probability to an experiment

7.2.10  select the scatter plot that represents the data in tabular form

 

Simple Events 9.1 *

Tree Diagram 9.2 *

Counting Principle 9.3 *

Theoretical and Experimental Probability 9.6 *

Making Predictions 2.2 *

Using Statistics to Predict 8.3 *

 

 

29

 

Determine the mean for a data set.

Determine the median for a data set.

Formulate questions, design studies, and collect real-world data

Construct, interpret, and use multiple-bar graphs, multiple-line graphs, and circle graphs displaying real-world data.

Interpret circle graphs displaying real-world data.

Interpret bar and line graphs to answer questions and solve real-world problems.

Find, use, and interpret measures of center and spread (e.g., mean, interquartile range).

Make conjectures and predictions based on data.

Connect data sets and their graphical representations (i.e., bar graphs, stem-and-leaf plots, box plots, and scatterplots).

Discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).

Make conjectures to formulate new questions for future studies.

 

7.5.1  interpret bar and line graphs to answer questions and solve real-world problems

7.5.2  interpret circle graphs displaying real-world data

7.5.3  determine the me an for a data set

7.5.4  determine the median for a data set

7.5.7  connect data sets and their graphical representation (i.e., bar graphs, stem-and-leaf plots, box plots, and scatter plots )

Mean, Median, and Mode 2.4 *

Stem-and-Leaf Plots 2.5 *

Box-and –Whisker Plots (Identity only) 2.6 *

Bar Graphs and Histograms 2.7 *

Making Circle Graphs 10.2 *

 

 

30

 

Recognize misleading representations of data

Make conjectures and predictions based on data.

 

Misleading Statistics 2.8 *

Review

 

 

31

 

 

 

T-CAP Week

 

 

32

 

 

7.2.7  solve one-step linear equations

Functions and Linear Equations 4.6 *

Lines and Slope 4.7 *

 

 

33

 

 

7.5.9  connect the symbolic representation of a probability to an experiment

Permutations 9.4 *

Combinations 9.5 *

Independent and Dependent Events 9.7 *

 

 

 

 

 

34

 

 

Make conjectures and predictions based on data.

7.5.9  connect the symbolic representation of a probability to an experiment

Frequency Tables 2.1 *

Making Predictions 2.2 *

 

 

 

35

 

 

 

Teacher Directed

 

 

36

 

 

 

Teacher Directed

 

             

 

 

 


 
 

 
 

 

 

 

 

 

 

 

 

 



 

 

 

 

 

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