Chapter -"Number Systems"-This chapter addresses rational and irrational numbers, absolute value and scientific notation.
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| 1 |
Scientific Notation-Express numbers between zero and one in scientific notation.
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M8001 M8002
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| 2 |
Rational and Irrational Numbers-Identify rational and irrational numbers and describe meanings.
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M8003 M8004
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| 3 |
Absolute Value-Identify and explain absolute value.
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M8005 M8006 M8007 M8008 M8009 M8010
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Chapter -"Real Numbers"-This chapter addresses repeating decimals, principal square roots, estimation and simplification of expressions.
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| 1 |
Repeating Decimals to Fractions-Convert repeating decimals to fractions.
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M8011 M8012 M8013 M8014 M8015 M8016
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| 2 |
Roots-Calculate and approximate principal square roots.
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M8017 M8018 M8019 M8020 M8021 M8022
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| 3 |
Compare and Order-Compare and order numbers in many forms including: fractions, decimals, scientific notation, absolute value, and radicals.
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M8023 M8024 M8025 M8026 M8027 M8028
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| 4 |
Estimation-Use estimation for situations using real numbers.
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M8029 M8030
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| 5 |
Properties-Apply properties to solve problems with real numbers.
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M8031 M8032
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| 6 |
Real Number Operations-Simplify numerical expressions with real numbers.
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M8033 M8034 M8035 M8036 M8037 M8038
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Chapter -"Number Theory"-This chapter addresses representing numbers in binary and octal, divisibility rules and the concept of relatively prime.
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| 1 |
Divisibility Rules-Use divisibility rules to solve problems.
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M8039 M8040
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| 2 |
Multiple Representations-Represent numbers in base ten in other bases (two, five, and eight) and vice versa.
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M8041 M8042
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| 3 |
Prime and Composite-Identify numbers as relatively prime.
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M8043 M8044 M8045 M8046 M8047 M8048
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Chapter -"Ratio, Proportion and Percent"-This chapter addresses rate of change and proportional relationships.
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| 1 |
Rate of Change-Describe and use rate of change to solve problems.
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M8049 M8050 M8051 M8052 M8053 M8054
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| 2 |
Proportions-Use proportional relationships to find measures of length, weight or mass, and capacity or volume.
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M8055 M8056
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| 3 |
Percents-Solve real world problems involving percents greater than 100.
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M8057 M8058 M8059 M8060 M8061 M8062
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Chapter -"Real World Computation"-This chapter addresses real world problems (one-, two- and multi-step problems).
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| 1 |
Operations-Solve real world problems with rational numbers (including integers, decimals and fractions).
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M8063 M8064 M8065 M8066 M8067 M8068
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| 2 |
Real World Problems-Solve real world problems with ratios, rates, proportions, and percents.
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M8069 M8070 M8071 M8072 M8073 M8074
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| 3 |
Multi-Step Problems-Solve real world two- or three- step problems with integers, decimals, fractions, ratios, rates, proportions, and percents.
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M8075 M8076 M8077 M8078 M8079 M8080
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Chapter -"Expressions and Equations"-This chapter addresses substitution, translation, and evaluation as well as solving linear inequalities.
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| 1 |
Expressions-Substitute rational numbers into expressions and evaluate.
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M8081 M8082 M8083 M8084 M8085 M8086
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| 2 |
Expressions with Exponents-Substitute rational numbers into expressions with exponents and radicals.
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M8087 M8088 M8089 M8090 M8091 M8092
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| 3 |
Expressions and Equations-Translate word expressions and equations into algebraic expressions and equations (including one or more variables and exponents).
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M8093 M8094 M8095 M8096 M8097 M8098
|
| 4 |
Expressions, Equations, and Inequalities-Translate verbal expressions and sentences into algebraic inequalities and vice versa.
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M8099 M8100
|
| 5 |
Real World Expressions-Use variables to represent unknown quantities in real world situations.
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M8101 M8102
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| 6 |
Simplify-Combine and simplify algebraic expressions with a maximum of two variables.
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M8103 M8104 M8105 M8106 M8107 M8108
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| 7 |
Substitution-Evaluate algebraic expressions and equations by substituting integral values for variables and simplifying.
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M8109 M8110
|
| 8 |
Inequalities-Solve linear inequalities in one variable algebraically.
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M8111 M8112 M8113 M8114 M8115 M8116
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Chapter -"Plane Geometry"-This chapter addresses the Pythagorean Theorem, transformations, congruence, parallel and perpendicular.
|
| 1 |
Geometric Properties-Use properties of parallelism, perpendicularity, and symmetry to solve real world problems.
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M8117 M8118
|
| 2 |
Polygons-Compare and describe properties of convex and concave polygons.
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M8119 M8120
|
| 3 |
Pythagorean Theorem-Apply the Pythagorean theorem to solve real world problems.
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M8121 M8122 M8123 M8124 M8125 M8126
|
| 4 |
Congruent and Similar-Identify congruence and similarity in real world situations and justify.
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M8127 M8128 M8129 M8130 M8131 M8132
|
| 5 |
Transformations-Identify and perform transformations (reflection, translation, rotation, and dilation) of a figure on a coordinate plane.
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M8133 M8134 M8135 M8136 M8137 M8138
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| 6 |
Proportional Relationships-Identify how changes in dimensions affect area and perimeter.
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M8139 M8140 M8141 M8142 M8143 M8144
|
| 7 |
Explore Reflection/Translation-Use the Transformation tool to investigate reflections and translations.
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M8501
|
| 8 |
Explore Rotations-Use the Transformation tool to investigate rotations.
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M8502
|
| 9 |
Explore Dilation-Use the Transformation tool to investigate dilation.
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M8503
|
| 10 |
Explore Transformations-Use the Transformation tool to investigate multiple transformations.
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M8504
|
Chapter -"Three-Dimensional Geometry"-This chapter addresses the volumes and surface areas of three-dimensional shapes.
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| 1 |
Volume-Find the volume of pyramids, prisms, and cones.
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M8145 M8146 M8147 M8148 M8149 M8150
|
| 2 |
Surface Area-Find the surface area of pyramids, prisms, and cones.
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M8151 M8152
|
| 3 |
Regular and Irregular Polygons-Compare regular and irregular polygons.
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M8153 M8154 M8155 M8156 M8157 M8158
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| 4 |
Angle Measure-Find the angle measure in two-dimensional figures and two-dimensional sides of three-dimensional figures based on geometric relationships.
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M8159 M8160 M8161 M8162 M8163 M8164
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| 5 |
Proportional Relationships-Identify the relationship between volume or surface area and dimension.
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M8165 M8166 M8167 M8168 M8169 M8170
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Chapter -"Measurement"-This chapter addresses scale, estimation and significant digits.
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| 1 |
Scale-Interpret and apply various scales including number lines, graphs, models, and maps.
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M8171 M8172
|
| 2 |
Estimation-Select tools to measure quantities and dimensions to a specified degree of accuracy and determine the greatest possible error of measurement.
|
M8179 M8180
|
| 3 |
Significant Digits-Identify the number of significant digits as related to the least precise unit of measure and apply to real world contexts.
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M8181 M8182 M8183 M8184 M8185 M8186
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Chapter -"Graphing"-This chapter addresses graphing linear equalities and inequalities.
|
| 1 |
Tables and Ordered Pairs-Use a table to find ordered pair solutions of a linear equation in slope-intercept form.
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M8187 M8188
|
| 2 |
Equations to Lines-Graph linear equations in standard form.
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M8189 M8190 M8191 M8192 M8193 M8194
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| 3 |
Linear Inequalities-Identify and graph inequalities on a number line.
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M8195 M8196 M8197 M8198 M8199 M8200
|
| 4 |
Inequalities-Identify and graph inequalities in the coordinate plane.
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M8201 M8202
|
| 5 |
Applications of Linear Inequalities-Solve problems in two variables using linear inequalities.
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M8203 M8204
|
| 6 |
Explore Inequalities I-Use the Number Line tool to investigate linear inequalities in one variable.
|
M8500
|
| 7 |
Explore Inequalities II-Use the Coordinate Graphing tool to investigate linear inequalities in two variables.
|
M8507
|
| 8 |
Explore Linear Programming-Use the Coordinate Graphing tool to investigate linear programming.
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M8510
|
Chapter -"Linear Relationships"-This chapter addresses x- and y-intercepts, slope and determining if a function is linear.
|
| 1 |
x- and y- Intercepts-Given the graph of a linear relationship, determine the x- and y- intercepts.
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M8205 M8206
|
| 2 |
Slope of a Line-Given the graph of a line, determine the slope.
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M8207 M8208 M8209 M8210 M8211 M8212
|
| 3 |
Write Equations in Slope-Intercept Form-Given the slope and y-intercept, write an equation.
|
M8213 M8214
|
| 4 |
Find a Function Rule-Find a function rule to describe a linear relationship using tables of related input-output variables.
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M8215 M8216 M8217 M8218 M8219 M8220
|
| 5 |
Determine if a Function is Linear-Using information from a table, graph, or rule, determine if a function is linear and justify.
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M8221 M8222 M8223 M8224 M8225 M8226
|
| 6 |
Explore Linear Relationships-Use the Coordinate Graphing tool to investigate problems about linear relationships.
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M8272
|
| 7 |
Explore Slope-Intercept Form-Use the Coordinate Graphing tool to investigate the slope-intercept form of a line.
|
M8506
|
| 8 |
Explore Reflections of Lines-Use the Coordinate Graphing tool to investigate reflections of lines.
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M8508
|
| 9 |
Explore Linear/Nonlinear-Use the Coordinate Graphing tool to investigate linear and nonlinear relationships.
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M8509
|
Chapter -"Probability"-This chapter addresses conditional probability and sampling.
|
| 1 |
Conditional Probability-Calculate conditional probabilities and the probabilities of dependent events.
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M8227 M8228 M8229 M8230 M8231 M8232
|
| 2 |
Sampling Techniques-Define and differentiate between different types of sampling techniques.
|
M8233 M8234
|
| 3 |
Apply Sampling-Use different types of sampling techniques to collect data.
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M8235 M8236
|
| 4 |
Sample Bias-Identify whether a sample is biased.
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M8237 M8238 M8239 M8240 M8241 M8242
|
| 5 |
Explore Probability I-Use the Probability tool to investigate the difference between experimental and theoretical probability on number cubes and spinners.
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M8512
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