Real World Math 7 Curriculum
Gregory J. Stone
Unit / Time 
Essential Questions 
Content 
Skills 
Assessments 
Standards 
Chapter 1 (Aug./ Sept.) 
Why is it important to represent data visually?
What are trend lines, and why are they important? 
 Interpret Graphs  Making Bar Graphs  Making Circle Graphs  Line Plots  Stem & Leaf Diagrams  Mean, Median, Mode, & Range  Line Graphs Scatter Plots & Relationships Trend Lines 
 Read and interpret bar graphs.  Read and interpret circle graphs.  Create a bar graph from a table of data.  Create a double bar graph.  Make a line plot.  Design a stem and leaf diagram.  Find the mean, median, mode and range from a set of data.  Decide if the mean, median, or mode best summarizes a set of data.  Read and interpret line graphs.  Recognize trends in data.  Read and interpret scatter plots.  Design scatter plots.  Construct trend lines. Use trend lines to make predictions.

 Daily Journal Entries  Homework  Quizzes (1A& 1B)  Chapter 1 Test  Project: (Conduct a Survey then Analyze & Represent the Data) 
2.1.8 (a.) 2.2.8 (g, h) 2.4.8 (a, f) 2.5.8 (ad) 2.6.8 (ag) 2.7.8 (b, e) 
Chapter 2 (Sept.) 
Why must there be an order of operations? (Summarize and illustrate the processes involved in the order of operations.)
How can writing algebraic formulas help us solve problems with one variable?

 Formulas & Variables  Order of Operations  Formulas & Tables  Inverse Operations  Translating Words into Expressions  Solving Addition and Subtraction Equations  Solving Multiplication and Division Equations  Problem Solving with Two Step Equations 
 Use formulas to show relationships among quantities.  Describe how variables represent quantities.  Substitute values for variables.  Use order of operations to find the values of expressions.  Summarize the associative, commutative, and distributive properties.  Generate a table using an equation.  Produce a formula when given a table of values.  Analyze and use inverse operations.  Translate words into algebraic expressions.  Translate algebraic expressions into words and phrases.  Solve addition and subtraction equations using inverse operations.  Solve multiplication and division equations using inverse operations.  Evaluate an equation using more than one inverse operation.

 Daily Journal Entries  Homework  Quizzes (2A& 2B)  Chapter 2 Test  15 Day Report  Project: (?) 
2.1.8 (a, b, f, g) 2.2.8 (ac, fh) 2.3.8 (a) 2.4.8 (b) 2.5.8 (ad) 2.7.8 (b, e) 2.8.8 (b, c, ej) 
Chapter 3 (Oct.) 
How does the estimation, rounding, comparing, and ordering of whole numbers and decimals aid in problem solving?
How are GCF’s and LCM’s used in work with fractions?

 Place Values  Estimating by Rounding  Sums & Differences of Decimals  Products & Quotients of Decimals  Powers of 10 & Scientific Notation  Divisibility & Prime Factorization  GCF & LCM  Equivalent Fractions & Lowest Terms  Comparing & Ordering Fractions  Converting Between Fractions & Decimals 
 Compare and order decimals.  Round to the nearest decimal place.  Estimate by rounding to whole numbers.  Use frontend estimation and compatible numbers to estimate.  Solve addition and subtraction equations containing decimals.  Multiply and divide decimal numbers.  Solve multiplication and division equations containing decimals.  Use exponents to write powers of 10.  Write large numbers in scientific notation.  Test numbers for divisibility.  Write any number as a product of primes.  Find the greatest common factor of a pair of numbers.  Find the least common multiple of a pair of numbers.  Write equivalent fractions.  Rewrite fractions in lowest terms.  Compare the values of fractions.  Order fractions.  Convert fractions to decimals.  Convert decimals to fractions.

 Daily Journal Entries  Homework  Quizzes (3A& 3B)  Chapter 3 Test  30 Day Report  Project: (?) 
2.1.8 (ad) 2.2.8 (a, b, f) 2.4.8 (b, d, f) 2.5.8 (ad) 2.6.8 (c) 
Chapter 4 (Oct./ Nov.) 
What are different ways fractions are used to represent parts of a whole?
What can be done instead of dividing by fractions?
Is it all ways necessary to rename fractions and mixed numbers with sums and differences?

 Fractions & Mixed Numbers  Adding & Subtracting Fractions  Adding & Subtracting Mixed Numbers  Multiplying Fractions  Multiplying Mixed Numbers  Dividing Fractions & Mixed Numbers 
 Estimate solutions to problems involving fractions.  Find sums and differences of fractions.  Solve equations involving fractions.  Find sums and differences of mixed numbers.  Solve equations containing mixed numbers.  Multiply fractions  Multiply mixed numbers.  Divide fractions and mixed numbers.

 Daily Journal Entries  Homework  Quizzes (4A& 4B)  Chapter 4 Test  Project: (?) 
2.1.8 (a, b, d, g) 2.2.8 (b, e, f) 2.4.8 (a, b) 2.5.8 (ad) 2.6.8 (a) 2.8.8 (f, g) 2.11.8 (c) 
Chapter 5 (Nov.) 
What is the relationship between shapes and measurement? (Lines are straight 1D & have measures of length, Figures are 2D & have measures of units squared)
How can the Pythagorean theorem be used to solve everyday problems?

 Angles  Parallel and Perpendicular Lines  Triangles and Quadrilaterals  Polygons  Squares and Square Roots  The Pythagorean Theorem  Areas of Triangles  Areas of Parallelograms & Trapezoids  Areas of Irregular Figures  Pi & Circumference  Areas of Circles 
 Name and measure angles.  Recognize parallel lines and summarize their properties.  Recognize perpendicular lines and summarize their properties.  Name and classify triangles.  Name and classify quadrilaterals.  Compute the measures of angles in these figures.  Classify polygons.  Find the angle sum of polygons.  Examine the relationship between perimeter and area.  Find the length of a square when you know its area  Find the square root of a number.  Use the special relationship among the sides of a right triangle.  Discover the Pythagorean Theorem.  Design a formula for the area of a triangle.  Design a formula for the area of a parallelogram.  Design a formula for the area of a trapezoid.  Design formulas for the areas of irregular figures.  Discover the ratio between the circumference and diameter of circles  Design a formula for the areas of circles.

 Daily Journal Entries  Homework  Quizzes (5A, 5B, & 11B )  Chapter 5 Test  15 Day Report  Project: (Ah Chute! Maximizing Areas) 
2.1.8 (ac, e, g) 2.2.8 (a, b, e, f) 2.3.8 (a, c, d, e) 2.5.8 (ad) 2.6.8 (a) 2.8.8 (a, b, d, j) 2.9.8 (af) 2.10.8 (a, b) 
Chapter 6 (Nov./ Dec.) 
How does cross multiplication of ratios different from multiplication of fractions?
How are proportions used to solve everyday situations? 
 Exploring Ratios  Estimating Ratios  Equivalent Ratios and Rates  Using Tables to Explore Ratios and Rates  Creating Proportions  Testing for Proportionality  Solving Proportions Using Unit Rates  Cross Multiplication 
 Summarize a ratio.  Compare quantities using division.  Compare two quantities with different units of measure.  Make comparisons to one unit.  Find equivalent rates and ratios.  Use a table to find equivalent ratios and rates.  Use equivalent ratios to write proportions.  Recognize proportional relationships.  Use unit rates to solve a proportion.  Use cross multiplication to solve a proportion.  Use cross multiplication to check whether two ratios form a proportion.

 Daily Journal Entries  Homework  Quizzes (6A& 6B)  Chapter 6 Test  30 Day Report  Project: (Measuring Trees using Proportions)

2.1.8 (ad, f, g) 2.2.8 (af) 2.3.8 (a, b) 2.4.8 (a, b, d, f) 2.5.8 (ad) 2.6.8 (ad, f, g) 2.7.8 (be) 2.8.8 (ad, h, i) 2.11.8 (b) 
Chapter 7 (Dec./ Jan.) 
Why can the use of units help check the correctness of a problem?
Where are scales (not the ones you step on) used? 
 Creating & Exploring Similar Figures  Finding Measures of Similar Figures  Perimeters & Areas of Similar Figures  Estimating Actual & Scale Distances  Calculating with Scales  Problem Solving Using Maps  Creating Scale Drawings and Scale Models  Choosing Appropriate Rates and Units  Converting Units  Converting Rates 
 Read and understand scales.  Estimate distances from maps using scales.  Use scales and scale drawings to calculate actual distances.  Use scales to read maps and make decisions.  Select a reasonable scale for a drawing, map, or model.  Select an appropriate scale for a particular situation.  Write reciprocal rates that have the same meaning.  Convert measurements from one unit to another.  Solve problems involving conversion of rates.  Identify similar figures.  Write similarity statements.  Find missing side lengths in similar figures.  Use shadows to find the heights of tall objects.  Use the scale factor to find perimeters and areas of similar figures.

 Daily Journal Entries  Homework  Quizzes (7A& 7B)  Chapter 7 Test  Project: (Scale Drawings)  Project: (How Fast Are You?)  Project: (That’s a big tree!) 
2.1.8 (a, d, g) 2.2.8 (a, b) 2.3.8 (a, b, dg) 2.4.8 (a, b, d) 2.5.8 (ad) 2.6.8 (a) 2.7.8 (d) 2.8.8 (a, c, j) 2.9.8 (k) 2.10.8 (b) 
Chapter 8 (Jan./ Feb.) 
What is the relationship between fractions and percents?
How is mental math used to solve problems and check reasonableness of answers? 
 Understanding Percents  Linking Fractions, Decimals, & Percents  Percents Greater than 100 & Less than 1  Finding Percent of a Number Mentally  Using Equations to Solve Percent Problems  Solving Percent Problems with Proportions  Percent Increase & Decrease 
 Compare quantities using percents.  Understand the relationships between percents, fractions, and decimals.  Use percents that are less than one and greater than 100.  Use mental math to find the percent of a number.  Calculate the tip of any meal mentally.  Use equations to solve problems involving percents.  Use proportions to solve percent problems.  Solve problems involving percent increase and decrease.

 Daily Journal Entries  Homework  Quizzes (8A& 8B)  Chapter 8 Test  15 Day Report  Project: (?) 
2.1.8 (a, b, f, g) 2.2.8 (af) 2.3.8 (b) 2.4.8 (b, d, f) 2.5.8 (ad) 2.6.8 (a, g) 2.8.8 (af, h, j) 2.11.8 (c) 
Chapter 9 (Feb./ March) 
How are ordered pairs used to describe the location of a point?
What are the rules for operations with integers? 
 Using Integers to Represent Quantities  Comparing & Ordering Integers  The Coordinate Plane  Adding Integers  Subtracting Integers  Multiplying Integers  Dividing Integers 
 Use integers to represent reallife quantities.  Find the opposite of an integer.  Find the absolute value of an integer.  Compare and order integers.  Graph points on a coordinate plane.  Summarize and illustrate the process of adding integers.  Summarize and illustrate the process of subtracting integers.  Summarize and illustrate the process of multiplying integers.  Summarize and illustrate the process of dividing integers.

 Daily Journal Entries  Homework  Quizzes (9A& 9B)  Chapter 9 Test  30 Day Report  Project: (Bungee Action Figures) 
2.1.8 (a, c, f, g) 2.2.8 (ac, f) 2.4.8 (ad) 2.5.8 (ad) 2.6.8 (a, d, g) 2.7.8 (d, e) 
Chapter 10 (March/ April) 
How can equations be used to represent physical situations?
Why are graphs important when working with equations?

 Quantities, Constants, & Variables  Relating Graphs to Stories  Tables & Expressions  Understanding & Writing Equations  Equations & Graphs  Solving Equations Using Tables  Solving Equations Using Graphs  Relating Equations & Inequalities  Tables & Expressions  Integer Addition & Subtraction Equations  Integer Multiplication & Division Equations  Solving Two Step Equations  Problem Solving with Integer Equations 
 Identify variables and constants.  Match a graph to a story.  Match a story to a graph.  Write rules for sequences.  Identify arithmetic and geometric sequences.  Write an equation from a table of values.  Draw the graph of an equation.  Use tables to solve equations.  Use graphs to solve equations.  Graph inequalities on a number line.  Write the inequality represented by a graph.  Solve addition and subtraction equations involving positive and negative numbers.  Solve twostep equations involving positive and negative numbers.  Solve realworld problems by using integer equations.  Represent a realworld concept with an integer equation.

 Daily Journal Entries  Homework  Quizzes (10A& 10B)  Chapter 10 Test  Project: (Wild Growing Lizards) 
2.1.8 (ag) 2.2.8 (ac) 2.3.8 (a, b, d) 2.4.8 (ae) 2.5.8 (ad) 2.6.8 (a, c) 2.7.8 (bd) 2.8.8 (aj) 2.11.8 (ac) 
Chapter 11 (April/ May) 
Why are isometric and orthographic drawings used in different occupations?
What are the relationships between surface areas and volumes in polyhedrons? 
 Exploring Polyhedrons  Isometric & Orthographic Drawings  Translations  Reflections & Line Symmetry  Rotations & Rotational Symmetry  Nets & Surface Areas of Polyhedrons: Prisms  Nets & Surface Areas of Polyhedrons: Pyramids  Nets & Surface Areas of Cylinders  Nets & Surface Areas of Cones  Volumes of Prisms  Volumes of Pyramids  Volumes of Cylinders  Volumes of Cones 
 Name, sketch, and classify assorted polyhedrons.  Match isometric and orthographic views.  Draw front, side, and top views of a solid.  Draw a figure in perspective from its top, side, and front views.  Draw translations on a coordinate plane.  Reflect figures on a coordinate plane.  Identify lines of symmetry.  Write rules for translations.  Identify figures with rotational symmetry.  Determine how far a figure has been rotated.  Rotate figures on a coordinate plane.  Draft a net of a prism.  Devise a formula for the surface area of prisms.  Draft a net of a cylinder.  Devise a formula for the surface area of cylinders  Draft a net of a pyramid.  Devise a formula for the surface area of pyramid.  Draft a net of a cone.  Devise a formula for the surface area of cones.  Create a formula for the volume of prisms.  Create a formula for the volume of cylinders.  Create a formula for the volume of pyramids.  Create a formula for the volume of cones.

 Daily Journal Entries  Homework  Quizzes (11A& 11B)  Chapter 11 Test  15 Day Report  Project: (Penny Barges)  Project: (Tessellations)

2.1.8 (ae, g) 2.2.8 (ac, e, f) 2.3.8 (a, dg) 2.4.8 (ae) 2.5.8 (ad) 2.6.8 (a) 2.7.8 (b, d, e) 2.8.8 (ae) 2.9.8 (a, c, d, fk) 2.10.8 (a, b) 
Chapter 12 (May/ June) 
How is probability used to predict the outcome in problem solving? 
 Counting Methods  Arrangements  Choosing a Group  Odds & Fairness  Probability  Experimental Probability  Independent & Dependent Events 
 Create tree diagrams and use the Counting Principle to find all of the outcomes for a set of choices.  Count the number of ways items can be arranged.  Use factorial products to count arrangements.  Calculate the number of ways to choose some items out of a larger group when the order is unimportant.  Find the odds that an event happens.  Find the probability of an event.  Use experimental probability to estimate probabilities.  Find probabilities involving geometric figures.  Compare and contrast dependent and independent events.  Find probabilities of dependent and independent events.

 Daily Journal Entries  Homework  Quizzes (12A& 12B)  Chapter 11 Test  30 Day Report  Project: (Design & Conduct Games Using Probability)

2.1.8 (ac, g) 2.2.8 (b) 2.4.8 (ae) 2.5.8 (ad) 2.6.8 (ad, g) 2.7.8 (ae)
