home

=Montgomery County 8th Grade Math Curriculum =

1. __Rational and Irrational Numbers: (8.N)__

 * ===classify real numbers:(8.N.2.1) ===

media type="custom" key="5531403"

[|Rational and Irrational Number worksheet]

[|Rational and Irrational Numbers explained]

[|Venn Diagram of Rational Numbers]
 * ===real numbers on a number line and absolute value:(8.N.2.2) ===
 * ===compare and order:(8.N.2.3) ===

[|Lesson Plan for Rational and Irrational Numbers]: Explain, skit, worksheet, compare and ordering, all included



[|Virtual Worksheets for comparing and ordering real numbers]

TI Activity Exchange
[|Comparing and Ordering] [|Real Numbers] [|Rational Number Rampage (App.)] [|Number Sets]

Unitedstreaming Videos
[|Number Concepts: Rational Numbers] [|Types of Numbers]

2.__Equations and Expressions (8.A)__
[|Properties of Numbers]
 * ===Properties (8.A.2.1) ===
 * distributive **(8.A.1.1) How does the distributive property differ from the other properties?**
 * associative
 * commutative
 * inverse
 * identity
 * ===Square/Cube Roots: (8.G.1) ===
 * estimating **(8.G.1.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">perfect squares **(8.G.1.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">problem solving
 * <span style="font-family: 'Comic Sans MS',cursive;">solving on a calculator **(8.G.1.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">cube/cube roots **(8.G.1.2** **)**
 * ===<span style="font-family: 'Comic Sans MS',cursive;">__Expressions and Variables:(8.A.1)__ ===
 * <span style="font-family: 'Comic Sans MS',cursive;">writing variable expressions **(8.A.1.3)**
 * substituting values for the variable **(8.A.1.4)**


 * ===<span style="font-family: 'Comic Sans MS',cursive;">__Equations:(8.A.1) (8.A.2)__ ===
 * <span style="font-family: 'Comic Sans MS',cursive;">one-step equations **(8.A.2.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">two-step equations **(8.A.2.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">with distributive property **(8.A.1.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">with like terms **(8.A.1.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">with variables on both sides **(8.A.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">solving Pythagorean Theorem **(8.G.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">formulas
 * <span style="font-family: 'Comic Sans MS',cursive;">find percent
 * <span style="font-family: 'Comic Sans MS',cursive;">percent of change
 * <span style="font-family: 'Comic Sans MS',cursive;">scale drawing
 * <span style="font-family: 'Comic Sans MS',cursive;">proportion word problems

<span style="font-family: 'Comic Sans MS',cursive;">3.__Inequalities:(8.A.2.2)__

 * <span style="font-family: 'Comic Sans MS',cursive;">solving one-step **(8.A.2.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">solving two-step **(8.A.2.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">graphing **(8.A.5)**
 * <span style="font-family: 'Comic Sans MS',cursive;">graphing on a calculator **<span style="font-family: 'Comic Sans MS',cursive;">(8.A.5) **

<span style="font-family: 'Comic Sans MS',cursive;">4.__Functions and Graphing: (8.A.3)__ (8.A.4)

 * ====<span style="font-family: 'Comic Sans MS',cursive;">linear **(** **8.A.3.1) (8.A.3.2) (8.A.3.3)**====
 * <span style="font-family: 'Comic Sans MS',cursive;">non-linear **(8.A.4.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">how to graph on paper and calculator **(8.A.3.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">different forms of functions: tables, equations, graphing, etc. **(8.A.3.1)**

<span style="font-family: 'Comic Sans MS',cursive;">5. __Slope: (8.A.3) (8.A.4)__

 * <span style="font-family: 'Comic Sans MS',cursive;">y = mx + b **(8.A.3.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">standard form **<span style="font-family: 'Comic Sans MS',cursive;">(8.A.3.1) **
 * <span style="font-family: 'Comic Sans MS',cursive;">equation of a line given graph **(8.A.3.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">equation of a line given slope and y-intercept **(8.A.3.3) (8.A.4.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">...given one point and slope **(8.A.3.3) (8.A.4.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">...given two points **(8.A.3.3) (8.A.4.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">slope-intercept to standard form **(8.A.3.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">parallel and perpendicular lines **(8.A.4.2)**

<span style="font-family: 'Comic Sans MS',cursive;">6. __Geometry/Measurement: (8.G) (8.M)__

 * <span style="font-family: 'Comic Sans MS',cursive;">similar figures **(7.G.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">congruent figures **(7.G.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">changes in dimensions **(8.M.1.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">Volume **(8.M.1.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">surface area **(8.M.1.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">area **(8.A.1.2)(8.M.1.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">perimeter **(8.M.1.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">adjacent, vertical, supplementary, and complimentary angles **(8.G.3.1)**
 * Use properties of parallel lines, alternate interior and exterior lines **(8.G.3.2)**
 * Determine arc length and central angles **(8.G.3.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">dilations **(8.G.4)**
 * <span style="font-family: 'Comic Sans MS',cursive;">rotations **(8.G.4)**

<span style="font-family: 'Comic Sans MS',cursive;">7. __Data and Graphs: (8.S)__

 * <span style="font-family: 'Comic Sans MS',cursive;">mean, median, mode **(8.S.3.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">box and whiskers **(8.S.3.1)**
 * <span style="font-family: 'Comic Sans MS',cursive;">interpreting and analyzing data **(8.S.3.3)**
 * <span style="font-family: 'Comic Sans MS',cursive;">Probability of dependent and independent events **(8.S.1.1)**

<span style="font-family: 'Comic Sans MS',cursive;">8. __Scatter Plots: (8.S.2)__

 * bivariate data (2 sets) **(8.S.2.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">line of best fit **(8.S.2.4)**
 * <span style="font-family: 'Comic Sans MS',cursive;">linear regression on the calculator **(8.S.2.2)**
 * <span style="font-family: 'Comic Sans MS',cursive;">real world word problems

1 ||< Orientation ||>  ||<   || 2 ||< Classify Real Numbers ||> 1.01a/8.N.2.1 ||< * What is the difference in a rational and irrational number? || 3 ||< Number Line / Absolute Value ||> 1.01/8.N.2.2 ||< * What does absolute value "really ask?" 4 ||< Compare / Order Rational Numbers ||> 1.01b/8.N.2.3 ||< * How do you compare and order a set of negative integers without graphing them? 5 ||< Problem Solving: Follow a Problem Solving Plan ||> 1.02 ||< * Describe the steps to solve as problem. || 6 ||< Review Unit One ||>  ||<   || 7 ||< Assess Unit One ||>  ||<   || 8 ||< Revise Unit One ||>  ||<   || 9 ||< Properties ||> 1.01/8.A.2.1 ||< * Explain the differences for the properties of addition and multiplication. || 10 ||< Perfect Squares /Square Roots Perfect Cube/Cube Roots ||> 1.01 a,c/8.G.1.1 ||< * Explain the process of how to find the square/cube and square/cube root on the calculator? || 11 ||< Simplify Square Roots ||> 1.01a,c/8.G.1.3 ||< * How are perfect squares used to simplify square roots? || 12 ||< Problem Solving: Write an Equation ||> 1.02 ||< * When is it appropriate to use the strategy write an equation to solve a problem? || 13 ||< Review Unit 2 ||>  ||<   || 14 ||< Assess Unit 2 ||>  ||<   || 15 ||< Revise Unit 2 ||>  ||<   || 16 ||< Cumulative Assessment ||>  ||<   || 17 || Introduce math 0 on the graphing calculator || 1.01 || * How do we solve equations using math 0 on a graphing calculator? practice with sheet of equations and answers** || 18 ||< Writing Variable Equations(pulled from word problems) ||> 1.01/8.A.1.3 ||< * How do we solve equations using math 0 on a graphing calculator? || 19 ||< One-Step Equations ||> 5.04/8.A.2.1 ||< * How do we solve equations using math 0 on a graphing calculator? || 20 ||< Two-Step Equations ||> 5.04/8.A.2.1 ||< * How do we solve equations using math 0 on a graphing calculator? || 21 ||< The Distributive Property in solving equations ||> 1.01/8.A.1.1 ||< * How do we solve equations using math 0 on a graphing calculator? || 22 ||< Combining Like Terms ||> 5.04/8.A.1.3 ||< * How do we solve equations using math 0 on a graphing calculator? || 24 ||< Solving Equations With Variables on both sides ||> 5.04/8.A.2.0 ||< * How do we solve equations using math 0 on a graphing calculator? || 25 || Solving one-step inequalities || 5.03/8.A.2.2 || * Define inequality. Why is it not possible to check all the solutions of an inequality? || 26 || Solving two-step inequalities || 5.03/8.A.2.2 || * When is solving an inequality different thn solving an equation? || 27 || Embedded Formulas || 5.04 || * How do we solve formulas using math 0? || 28 ||< The Pythagorean Theorem ||> 3.02/8.G.2.0 ||< * How do we solve equations using math 0 on a graphing calculator? || 29 ||< The Pythagorean Theorem ||> 3.02/8.G.2.0 ||< * How do we solve equations using math 0 on a graphing calculator? || 30 ||< Converse of the Pythagorean Theorem ||> 3.02/8.G.2.0 ||< * How do we solve equations using math 0 on a graphing calculator? || 31 ||< Problem Solving: Draw a Diagram ||> 1.02 ||< * When is it appropriate to use the strategy draw a diagram to solve a problem? || 32 ||< Review Unit 3 ||>  ||<   || 33 ||< Assess Unit 3 ||>  ||<   || 34 ||< Revise Unit 3 ||>  ||<   || 35 ||< Cumulative Review ||>  ||<   || 36 ||< Percent ||> 1.01/5.04 ||< * Describe the process needed when solving percent problems. || 37 ||< Percent of Change ||> 1.02 ||< * What is the formula used to solve percent of change? || 38 ||< Scale Drawing ||> 2.02 ||< * How would you use the scale factor to find the actual measurement? || 39 ||< Dilations ||> 3.03/8.G.4.0 ||< 40 ||< Similar Figures ||> 2.02, 3.02/7.G.1.0 ||< * When are two figures similar? || 41 ||< Indirect Measurement ||> 2.02, 3.01 ||< * Explain how you can use similar triangles to indirectly find a missing measurement. || 42 ||< Unit 4 Review ||>  ||<   || 43 ||< Unit 4 Assessment ||>  ||<   || 44 ||< Unit 4 Revise ||>  ||<   || 45 ||< Cumulative Review ||>  ||<   || 46 ||< Benchmark I ||>  ||<   || 47 ||< Benchmark I ||>  ||<   || 48 ||< Benchmark I ||>  ||<   || 49 || Problem Solving: Make a Table || 1.02 || * When is it appropriate to use the strategy make a table to solve a problem? || 50 || Slope-intercept form || 5.02/8.A.3.3 ||  || 51 || Slope-intercept form || 5.02/8A.3.3 ||  || 52 || Standard Form of an Equation || 5.02/8.A.3.1 ||  || 53 || Converting Standard Form to Slope-Intercept Form || 5.02/8.A.3.1 ||  || 54 || Converting Slope-Intercept Form to Standard Form || 5.02/8.A.3.1 ||  || 55 || Graphing Equations on Graphing Calculator(SEXY) || 5.02/8.A.3.1 ||  || 56 || Writing an Equation for a line given a graph || 5.02/8.A.3.3 ||  || 57 || Writing an equation for a line given the slope and the y-intercept || 5.02/8.A.4.1 ||  || 58 || Writing an equation for a line given the slope and a point(use math 0) || 5.02/8.A.3.3/8.A.4.1 ||  || 59 || Writing an equation for a line given two points || 5.02/8.A.3.3/8.A.4.1 ||  || 60 || Parallel Lines/Perpendicular Lines || 5.02/8.A.4.2 ||  || 61 || Graphing Inequalities || 5.03/8.A.5.0 ||  || 62 || Review Unit 5 ||  ||   || 63 || Assess Unit 5 ||  ||   || 64 || Revise Unit 5 ||  ||   || 65 || Cumulative Review ||  ||   || 66 ||< Linear Functions ||> 5.01/8.A.3.1/8.A.3.2/8.A.3.3 ||<  || 67 ||< Non-Linear Functions ||> 5.01/8.A.4.3 ||<  || 68 ||< Graphing Functions(SEXY) ||> 5.01/8.A.3.1 ||<  || 69 ||< Graphing Functions on the Graphing Calculator(SEXY) ||> 5.01/8.A.3.1 ||<  || 70 ||< Different Forms of Functions(table, ordered pairs, graph, and equation)(SEXY) ||> 5.01/8.A.3.1 ||>  ||<   ||   ||<   || Review Unit 6 ||>  ||<   || Assess Unit 6 ||>  ||<   || Revise Unit 6 ||>  ||<   || Cumulative Review ||>  ||<   || 74 ||< Chapter 6 Review ||>  ||<   || 75 ||< Chapter 6 Assessment ||>  ||<   || 76 ||< Chapter 6 Revise ||>  ||<   || 77 ||< Cumulative Review ||>  ||<   || 78 ||< Area and Perimeter ||> 3.02/8.M.1.1 8.A.1.2 ||<  || 79 ||< Volume ||> 2.01/3.02/8.M.1.2 ||<  || 80 ||< Surface Area ||> 2.01/3.02/8.M.1.2 ||<  || 81 || Surface Area || 2.01/3.02/8.M.1.2 ||  || 82 || Changing Dimensions of a Two-Dimensional Figure || 2.01/8.M.1.1 ||  || 83 || Changing Dimensions of a Three-Dimensional Figure || 2.01/8.M.1.1 ||  || 84 ||< Changing Dimensions of Figures ||> 2.01/8.M.1.1 ||<  || 85 ||< Review Unit 7 ||>  ||<   || 86 ||< Assess Unit 7 ||>  ||<   || 87 ||< Revise Unit 7 ||>  ||<   || 88 ||< Cumulative Review ||>  ||<   || 89 ||< Benchmark II ||>  ||<   || 90 ||< Benchmark II ||>  ||<   || 91 ||< Benchmark II ||>  ||<   || 92 ||< Interpreting and Analyzing Data ||> 4.01/4.03/8.S.3.3 ||<  || 93 ||< Scatterplots ||> 4.01/8.G.4.0 ||<  || 94 ||< Scatterplots ||> 4.01/8.G.4.0 ||<  || 95 || Line of Best Fit || 4.02/8.S.2.4 ||  || 96 || Line of Best Fit || 4.02/8.S.2.4 ||  || 97 || Line of Best Fit || 4.02/8.S.2.4 ||  || 98 || Line Of Best Fit || 4.02/8.S.2.4 ||  || 99 || Line of Best Fit || 4.02/8.S.2.4 ||  || 100 || Line of Best Fit || 4.02/8.S.2.4 ||  || 101 || Linear Regression || 4.02/8.S.2.2 ||  || 102 ||< Review Unit 8 ||>  ||<   || 103 ||< Assess Unit 8 ||>  ||<   || 104 ||< Revise Unit 8 ||>  ||<   || 105 ||< Cumulative Review ||>  ||<   || 106 ||< Benchmark III ||>  ||<   || 107 ||< Benchmark III ||>  ||<   || 108 ||< Benchmark III ||>  ||<   || 158 ||<  ||>   ||<   || 159 ||<   ||>   ||<   || 160 ||<   ||>   ||<   || 161 ||<   ||>   ||<   || 162 ||<   ||>   ||<   || 163 ||<   ||>   ||<   || 164 ||<   ||>   ||<   || 165 ||<   ||>   ||<   || 166 ||<   ||>   ||<   || 167 ||<   ||>   ||<   || 168 ||<   ||>   ||<   || 169 ||<   ||>   ||<   || 170 ||<   ||>   ||<   || 171 ||<   ||>   ||<   || 172 ||<   ||>   ||<   || 173 ||<   ||>   ||<   || 174 ||<   ||>   ||<   || 175 ||<   ||>   ||<   || 176 ||<   ||>   ||<   || 177 ||<   ||>   ||<   || 178 ||<   ||>   ||<   || 179 ||<   ||>   ||<   || 180 ||<   ||>   ||<   ||
 * ~ ===**Day**=== ||~ ===Topic=== ||~ ===Learning Objective=== ||~ ===Essential Question=== ||
 * How do you find the absolute value of an integer? ||
 * How do you compare and order rational numbers?
 * How do you compare and order irrational numbers? ||