Grade 7 Middle School Math Solution Table of Contents: Virginia State Standards Alignment

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1 NUMBER AND NUMBER SENSE 7.1 a. The student will investigate describe the concept of negative exponents for powers of ten; b. compare order numbers greater than zero written in scientific notation; c. compare order rational numbers; d. determine square roots of perfect squares; e. identify describe absolute value of rational numbers. COMPUTATION AND ESTIMATION The student will solve practical problems involving operations with rational numbers. The student will solve singlestep multistep practical problems, using proportional reasoning. Moving Beyond Positive Exping the Number System Moving Beyond Positive Operating with Signed Exponents Scientific Notation Exponents Scientific Notation 3: The Big Small of It 3: The Big Small of It Scientific Notation Scientific Notation Signed 3: What s in a Name? The Real Number System Signed Adding Subtracting Rational Multiplying Dividing Rational 3: What Are Those? 2: Magnificent Magnitude Exping Number Systems Beyond Positive Rational Irrational Integers 5: All Mixed Up 2: Be Rational 3: Building a Wright Brother s Flyer 4: Properties Schmoperties 1: Mark Ups Mark Downs 2: Perks of Work 3: No Taxation without Calculation 4: More Ups Downs 5: Pound for Pound, Inch for Inch Percents using 1: Using Scientific Notation 2: Comparing using Scientific Notation 1: Introduction to Irrational Using Absolute Value 1: Calculating Percent Change Final Amounts 2: Using Percents Percent Change : Table of Contents 1

2 MEASUREMENT AND GEOMETRY a. The student will describe determine the volume surface area of rectangular prisms cylinders; The student will solve problems, including practical problems, involving the relationship between corresponding sides corresponding angles of similar quadrilaterals triangles. a. The student will compare contrast quadrilaterals based on their properties; b. determine unknown side lengths or angle measures in quadrilaterals. The student will apply translations reflections of right triangles or rectangles in the coordinate plane. Composing Decomposing Transforming Geometric Objects Composing Decomposing Transforming Geometric Objects Volume Volume of Curved Figures Rigid Motion Transformations Line Angle Similarity Area Rigid Motion Transformations 1: Length, Width, Depth 2: Which Warehouse 3: Breaking the 4th Wall 4: Dividend in the House 1: Drum Roll Please 1: Patty Paper, Patty Paper Composing Decomposing Volume Surface Area Volume 3: The Vanishing Point 1: Pinch Zoom Geometry 2: Rising, Running, Stepping, Scaling 3: From Here to There 1: Developing Area Formulas 2: Calculating Area of Various Figures 3: Solving Area s 1: Patty Paper, Patty Paper 2: Slides, Flips, Spins 3: Lateral Moves 4: Mirror, Mirror Transforming Geometric Objects Transformations of Figures on the Coordinate Plane 1: Calculating Volume of Right Prisms 2: Using Volume of Right Prisms 3: Calculating Surface Area of Right Prisms 1: Calculating Volume of Cylinders 2: Using Volume of Cylinders 1: Translating Plane Figures 2: Reflecting Plane Figures : Table of Contents 2

3 PROBABILITY AND STATISTICS a. The student will determine theoretical experimental probabilities of an event; b. investigate the difference between experimental probability experimental probability of an event. a. The student will represent data in a histogram; b. make observations inferences about data represented in a histogram; c. compare histograms with the same data represented in stem--leaf plots, line plots, circle graphs. Introduction to Probability Introduction to Probability The Statistical Process The Statistical Process 1: Rolling, Rolling, Rolling 2: Give the Models a Chance 3: Toss the Cup 4: A Simulating Conversation 3: Toss the Cup 4: A Simulating Conversation 3: Skyscrapers 2: Get in Shape 3: Skyscrapers Introduction to Probability Introduction to Probability Displays of Numerical Data Displays of Numerical Data 1: 2: Comparing Experimental Theoretical 2: Comparing Experimental Theoretical 3: Creating Interpreting Histograms 1: Creating Interpreting Stem Plots 2: Creating Interpreting Dot Plots : Table of Contents 3

4 PATTERNS, FUNCTIONS, AND ALGEBRA 7.10 a. The student will determine slope, m, as rate of change in a proportional relationship between two quantities write an equation in the form y = mx to represent the relationship b. graph a line representing a proportional relationships between two quantities given the slope an ordered pair, or given the equation in y = mx form where m represents the slope as rate of change; c. determine the y-intercept, b, in an additive inverse relationship between two quantities write an equation in the form y = x + b to represent the relationship Developing Functional Foundations Developing Functional Foundations ity From Proportions to Linear ity From Proportions to Linear 3: Trains, Planes, 2: Complying with Title IX 3: Fish Inches 1: Post-Secondary Proportions 2: Jack Jill Went Up the Hill 3: Trains, Planes, 1: How Does Your Garden Grow 2: Fish Inches 4: Minding Your Ps Qs 1: Post-Secondary Proportions 2: Jack Jill Went Up the Hill 3: Trains, Planes, Representing with Representing with 2: Solving using 3: 1: Introduction to 2: Writing Direct Variation 3: Converting Between Proportions Direct Variation 2: Solving using 3: 4: Modeling Direct Variations 2: Solving using 3: : Table of Contents 4

5 d. graph a line representing an additive relationship between two quantities given the y-intercept an ordered pair, or given the equation in the form y = x + b, where b represents the y-intercept; e. make connections between among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, graphs. The student will evaluate algebraic expressions for given replacement values of the variables. Developing Functional Foundations ity From Proportions to Linear Algebraic 3: Trains, Planes, 3: Trains, Planes, 4: Minding Your Ps Qs 1: Post-Secondary Proportions 2: Jack Jill Went Up the Hill 2: Into the 1: No Substitution for Hard Work Representing with Algebraic 2: Solving using 3: 1: Patterns 2: Solving using 3: 1: Introduction to 2: Writing Direct Variation 3: Converting Between Proportions Direct Variation 4: Modeling Direct Variation 2: Evaluating Multi-Step 3: Evaluating with Multiple Variables : Table of Contents 5

6 The student will solve twostep linear equations in one variable, include practical problem that requires the solution of a two-step linear equation in one variable. The student will solve one two-step inequalities in one variable, including practical problems involving additions, subtraction, multiplication, division, graph the solution on a number line. Inequalities Multiple Representations of 1: Picture Algebra 2: that Play Together 3: Formally Yours 1: Put It on the Plane 4: Texas Tea Temperature Modeling Solving Inequalities 1: First Among Equals Inequalities 4: Be Greater Than Solving Inequalities 1: Using Picture Algebra with 2: Modeling 1: Checking Solutions to Linear 2: Multiplication (No Type In) 3: Multiplication (Type In) 4: Division (No Type In) 5: Division (Type In) 6: Solving 1: Graphs of 2: Using Graphs to Solve 1: Inequalities with Rational 2: Solving Linear Inequalities : Table of Contents 6

Carnegie Learning Middle School Math Solution Virginia State Standards Alignment: Grade 7

Carnegie Learning Middle School Math Solution Virginia State Stards Alignment: Grade 7 Virginia State Stard Textbook MATHia X NUMBER AND NUMBER SENSE 7.1 a. The student will investigate describe the concept