| Chapter 1 - "Number Systems"This chapter addresses rational and irrational numbers, absolute value and scientific notation. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Scientific Notation - Express numbers between zero and one in scientific notation. |
M8001
M8002 |
| Rational and Irrational Numbers - Identify rational and irrational numbers and describe meanings. |
M8003
M8004 |
| Absolute Value - Identify and explain absolute value. |
M8005
M8006
M8007
M8008
M8009
M8010 |
| Chapter 2 - "Real Numbers"This chapter addresses repeating decimals, principal square roots, estimation and simplification of expressions. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Repeating Decimals to Fractions - Convert repeating decimals to fractions. |
M8011
M8012
M8013
M8014
M8015
M8016 |
| Roots - Calculate and approximate principal square roots. |
M8017
M8018
M8019
M8020
M8021
M8022 |
| Compare and Order - Compare and order numbers in many forms including: fractions, decimals, scientific notation, absolute value, and radicals. |
M8023
M8024
M8025
M8026
M8027
M8028 |
| Estimation - Use estimation for situations using real numbers. |
M8029
M8030 |
| Properties - Apply properties to solve problems with real numbers. |
M8031
M8032 |
| Real Number Operations - Simplify numerical expressions with real numbers. |
M8033
M8034
M8035
M8036
M8037
M8038 |
| Chapter 3 - "Number Theory"This chapter addresses representing numbers in binary and octal, divisibility rules and the concept of relatively prime. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Divisibility Rules - Use divisibility rules to solve problems. |
M8039
M8040 |
| Multiple Representations - Represent numbers in base ten in other bases (two, five, and eight) and vice versa. |
M8041
M8042 |
| Prime and Composite - Identify numbers as relatively prime. |
M8043
M8044
M8045
M8046
M8047
M8048 |
| Chapter 4 - "Ratio, Proportion and Percent"This chapter addresses rate of change and proportional relationships. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Rate of Change - Describe and use rate of change to solve problems. |
M8049
M8050
M8051
M8052
M8053
M8054 |
| Proportions - Use proportional relationships to find measures of length, weight or mass, and capacity or volume. |
M8055
M8056 |
| Percents - Solve real world problems involving percents greater than 100. |
M8057
M8058
M8059
M8060
M8061
M8062 |
| Chapter 5 - "Real World Computation"This chapter addresses real world problems (one-, two- and multi-step problems). |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Operations - Solve real world problems with rational numbers (including integers, decimals and fractions). |
M8063
M8064
M8065
M8066
M8067
M8068 |
| Real World Problems - Solve real world problems with ratios, rates, proportions, and percents. |
M8069
M8070
M8071
M8072
M8073
M8074 |
| Multi-Step Problems - Solve real world two- or three- step problems with integers, decimals, fractions, ratios, rates, proportions, and percents. |
M8075
M8076
M8077
M8078
M8079
M8080 |
| Chapter 6 - "Expressions and Equations"This chapter addresses substitution, translation, and evaluation as well as solving linear inequalities. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Expressions - Substitute rational numbers into expressions and evaluate. |
M8081
M8082
M8083
M8084
M8085
M8086 |
| Expressions with Exponents - Substitute rational numbers into expressions with exponents and radicals. |
M8087
M8088
M8089
M8090
M8091
M8092 |
| Expressions and Equations - Translate word expressions and equations into algebraic expressions and equations (including one or more variables and exponents). |
M8093
M8094
M8095
M8096
M8097
M8098 |
| Expressions, Equations, and Inequalities - Translate verbal expressions and sentences into algebraic inequalities and vice versa. |
M8099
M8100 |
| Real World Expressions - Use variables to represent unknown quantities in real world situations. |
M8101
M8102 |
| Simplify - Combine and simplify algebraic expressions with a maximum of two variables. |
M8103
M8104
M8105
M8106
M8107
M8108 |
| Substitution - Evaluate algebraic expressions and equations by substituting integral values for variables and simplifying. |
M8109
M8110 |
| Inequalities - Solve linear inequalities in one variable algebraically. |
M8111
M8112
M8113
M8114
M8115
M8116 |
| Chapter 7 - "Plane Geometry"This chapter addresses the Pythagorean Theorem, transformations, congruence, parallel and perpendicular. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Geometric Properties - Use properties of parallelism, perpendicularity, and symmetry to solve real world problems. |
M8117
M8118 |
| Polygons - Compare and describe properties of convex and concave polygons. |
M8119
M8120 |
| Pythagorean Theorem - Apply the Pythagorean theorem to solve real world problems. |
M8121
M8122
M8123
M8124
M8125
M8126 |
| Congruent and Similar - Identify congruence and similarity in real world situations and justify. |
M8127
M8128
M8129
M8130
M8131
M8132 |
| Transformations - Identify and perform transformations (reflection, translation, rotation, and dilation) of a figure on a coordinate plane. |
M8133
M8134
M8135
M8136
M8137
M8138 |
| Proportional Relationships - Identify how changes in dimensions affect area and perimeter. |
M8139
M8140
M8141
M8142
M8143
M8144 |
| Explore Reflection/Translation - Use the Transformation tool to investigate reflections and translations. |
M8501 |
| Explore Rotations - Use the Transformation tool to investigate rotations. |
M8502 |
| Explore Dilation - Use the Transformation tool to investigate dilation. |
M8503 |
| Explore Transformations - Use the Transformation tool to investigate multiple transformations. |
M8504 |
| Chapter 8 - "Three-Dimensional Geometry"This chapter addresses the volumes and surface areas of three-dimensional shapes. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Volume - Find the volume of pyramids, prisms, and cones. |
M8145
M8146
M8147
M8148
M8149
M8150 |
| Surface Area - Find the surface area of pyramids, prisms, and cones. |
M8151
M8152 |
| Regular and Irregular Polygons - Compare regular and irregular polygons. |
M8153
M8154
M8155
M8156
M8157
M8158 |
| Angle Measure - Find the angle measure in two-dimensional figures and two-dimensional sides of three-dimensional figures based on geometric relationships. |
M8159
M8160
M8161
M8162
M8163
M8164 |
| Proportional Relationships - Identify the relationship between volume or surface area and dimension. |
M8165
M8166
M8167
M8168
M8169
M8170 |
| Chapter 9 - "Measurement"This chapter addresses scale, estimation and significant digits. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Scale - Interpret and apply various scales including number lines, graphs, models, and maps. |
M8171
M8172 |
| Estimation - Select tools to measure quantities and dimensions to a specified degree of accuracy and determine the greatest possible error of measurement. |
M8179
M8180 |
| Significant Digits - Identify the number of significant digits as related to the least precise unit of measure and apply to real world contexts. |
M8181
M8182
M8183
M8184
M8185
M8186 |
| Chapter 10 - "Graphing"This chapter addresses graphing linear equalities and inequalities. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Tables and Ordered Pairs - Use a table to find ordered pair solutions of a linear equation in slope-intercept form. |
M8187
M8188 |
| Equations to Lines - Graph linear equations in standard form. |
M8189
M8190
M8191
M8192
M8193
M8194 |
| Linear Inequalities - Identify and graph inequalities on a number line. |
M8195
M8196
M8197
M8198
M8199
M8200 |
| Inequalities - Identify and graph inequalities in the coordinate plane. |
M8201
M8202 |
| Applications of Linear Inequalities - Solve problems in two variables using linear inequalities. |
M8203
M8204 |
| Explore Inequalities I - Use the Number Line tool to investigate linear inequalities in one variable. |
M8500 |
| Explore Inequalities II - Use the Coordinate Graphing tool to investigate linear inequalities in two variables. |
M8507 |
| Explore Linear Programming - Use the Coordinate Graphing tool to investigate linear programming. |
M8510 |
| Chapter 11 - "Linear Relationships"This chapter addresses x- and y-intercepts, slope and determining if a function is linear. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| x- and y- Intercepts - Given the graph of a linear relationship, determine the x- and y- intercepts. |
M8205
M8206 |
| Slope of a Line - Given the graph of a line, determine the slope. |
M8207
M8208
M8209
M8210
M8211
M8212 |
| Write Equations in Slope - Intercept Form-Given the slope and y-intercept, write an equation. |
M8213
M8214 |
| Find a Function Rule - Find a function rule to describe a linear relationship using tables of related input-output variables. |
M8215
M8216
M8217
M8218
M8219
M8220 |
| Determine if a Function is Linear - Using information from a table, graph, or rule, determine if a function is linear and justify. |
M8221
M8222
M8223
M8224
M8225
M8226 |
| Explore Linear Relationships - Use the Coordinate Graphing tool to investigate problems about linear relationships. |
M8272 |
| Explore Slope-Intercept Form - Use the Coordinate Graphing tool to investigate the slope-intercept form of a line. |
M8506 |
| Explore Reflections of Lines - Use the Coordinate Graphing tool to investigate reflections of lines. |
M8508 |
| Explore Linear/Nonlinear - Use the Coordinate Graphing tool to investigate linear and nonlinear relationships. |
M8509 |
| Chapter 12 - "Probability"This chapter addresses conditional probability and sampling. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Conditional Probability - Calculate conditional probabilities and the probabilities of dependent events. |
M8227
M8228
M8229
M8230
M8231
M8232 |
| Sampling Techniques - Define and differentiate between different types of sampling techniques. |
M8233
M8234 |
| Apply Sampling - Use different types of sampling techniques to collect data. |
M8235
M8236 |
| Sample Bias - Identify whether a sample is biased. |
M8237
M8238
M8239
M8240
M8241
M8242 |
| Explore Probability I - Use the Probability tool to investigate the difference between experimental and theoretical probability on number cubes and spinners. |
M8512 |
| Explore Probability II - Use the Probability tool to investigate conditional probability with marbles. |
M8513 |
| Chapter 13 - "Data and Statistics"This chapter addresses different data representations and the measures of central tendency. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Data Representations - Interpret circle, line, bar, histogram, stem-and-leaf, and box-and-whisker graphs including how different displays lead to different interpretations. |
M8243
M8244
M8245
M8246
M8247
M8248 |
| Statistics - Identify and explain how statistics and graphs can be used in misleading ways. |
M8249
M8250
M8251
M8252
M8253
M8254 |
| Mean, Median and Mode - Determine appropriate measures of central tendency for a given situation or set of data. |
M8255
M8256
M8257
M8258
M8259
M8260 |
| Technology - Use technology to determine the mean, median, mode, and range of a set of real world data. |
M8261
M8262 |
| Explore Central Tendency - Use the Data Representation tool to investigate the mean, median, mode and range in various types of data sets. |
M8514 |
| Explore Statistical Plots - Use the Data Representation tool to investigate stem-and-leaf and box-and-whisker plots. |
M8515 |
| Explore Scatterplots - Use the Coordinate Graphing tool to investigate scatterplots and relationships between variables. |
M8511 |
| Chapter 14 - "Practice"This chapter contains additional practice activities. |
| Lesson Title and Description |
Learning Activity (LA)
Number |
| Add/Subtract Integers - Review positive and negative values and the number line. Determine absolute value. Add and subtract positive and negative integers. Use equivalent expressions to subtract positive and negative integers. |
8059
8101
8235 |
| Divisibility - Learn and apply the rules of divisibility. Determine divisibility. |
8060
8102
8232 |
| Multiply/Divide Integers - Recognize multiplication on a number line. Review rules for signs of products and quotients. Multiply and divide positive and negative integers. Multiply more than two integers. Investigate the commutative property, the multiplicative property of 0, the distributive property, and the associative property. |
8061
8103
8236 |
| Integers as Exponents - Review the rules for signs in exponential expressions. Identify base and exponent. Evaluate expressions with positive and negative bases. Evaluate expressions with positive and negative exponents. Convert between negative exponents and fractions. |
8062
8104
8237 |
| Use Powers of Ten - Multiply and divide by powers of ten. Use exponents for powers of ten. Multiply by decimal powers of ten. Apply mental math. |
8063
8105
8231 |
| Solve Using Add/Subtract - Identify inverse operations. Use addition and subtraction to solve equations. Solve equations with negative numbers. Check work by substituting a solution for the unknown. |
8064
8106
8238 |
| Rational Numbers Properties - Learn the definition of a rational number. Complete equations. Learn properties of addition and multiplication. |
8065
8107
8242 |
| Squares and Square Roots - Calculate squares and square roots. Find the principal and negative square roots. Estimate square roots. |
8066
8108
8255 |
| Multiply Mixed Numbers - Learn and apply steps to multiply fractions. Convert mixed numbers to improper fractions. Use shortcuts with multiplication. |
8067
8109
8247 |
| Divide Mixed Numbers - Learn and apply steps to divide whole numbers and mixed numbers. Convert mixed numbers to improper fractions. Divide using reciprocals. Simplify answers. |
8068
8110
8233 |
| GCF and LCM - Identify prime factors. Determine the greatest common factor (GCF) and the least common multiple (LCM). |
8069
8111
8241 |
| Estimate by Rounding Decimals - Learn and apply methods of estimation. Estimate sums, differences, products, and quotients. |
8070
8112
8230 |
| Add/Sub Decimals & Fractions - Use absolute value to add decimals. Add fractions using the least common denominator (LCD). Subtract by adding the opposite value. Apply rules for signs. |
8071
8113
8243 |
| Percents, Fractions, Decimals - Convert percents, fractions, and decimals. Convert complex percents to decimals and fractions. |
8072
8114
8245 |
| Percent Proportions - Set up and solve percent proportions. Use shortcuts with common fractions. |
8073
8115
8246 |
| Sales Tax and Discount - Set up proportions. Calculate discount, sale price, sales tax, and total cost. |
8074
8116
8248 |
| Percent of Increase/Decrease - Learn to calculate the amount of increase or decrease. Set up proportions. Calculate percent increase or decrease. |
8075
8117
8249 |
| Ratio, Rate, and Proportion - Understand ratios, rates, and proportions. Use proportions to solve word problems. Find the unit rate. |
8076
8118
8244 |
| 1-Step Add/Sub Word Problems - Use a 5-step strategy for solving word problems. Add and subtract whole numbers and decimal numbers. |
8077
8119 |
| Surface Area: Pyramids & Cones - Calculate the surface area of square pyramids, rectangular pyramids, and cones. |
8088 |
| Solve Using Multiply/Divide - Identify inverse operations. Use multiplication and division to solve equations. Use reciprocals to solve equations with fractions. Check work by substituting a solution for the unknown. |
8078
8120
8239 |
| Solve 2-Step Equations - Determine the order of operations for two-step equations. Solve two-step equations. |
8079
8121
8240 |
| Graph Sentences - Solve and graph single and compound inequalities. Reverse the sign when multiplying and dividing by a negative number. |
8080
8122
8264 |
| Graph Linear Equations - Learn the steps to graph equations. Find x- and y-values. Write ordered pairs. Graph equations on the coordinate plane. |
8081
8123
8265 |
| Graph Inequalities - Learn to graph inequalities with lines and shading. Solve inequalities. Identify ordered pairs. Plot ordered pairs and shade. Graph inequalities. Recognize correct lines and shading. |
8082
8124
8266 |
| Lines and Angles - Identify angle relationships. Calculate angle measurements. |
8083
8125
8250 |
| Polygons - Recognize regular and irregular polygons. Identify types of quadrilaterals. Find the sum of interior angles. Find interior angles in a regular polygon. |
8084
8126
8251 |
| Congruent/Similar Figures - Define congruence and similarity. Identify corresponding vertices, sides, and angles. Find missing measures for congruent and similar figures. |
8085
8127
8252 |
| Perimeter and Area - Learn the formulas for the area of rectangles, parallelograms, triangles, and trapezoids. Calculate perimeter and area. |
8086
8128
8253 |
| Circles: Circumference & Area - Learn the characteristics of circles. Learn the formulas for circumference and area. Calculate circumference, diameter, radius, and area. |
8087
8129
8254 |
| Surface Area: Prisms/Cylinders - Calculate the surface area of cubes, prisms, and cylinders. Investigate faces and edges. |
8089 |
| Volume of Prisms and Cylinders - Learn the formulas for the volume of prisms and cylinders. Calculate the volume of prisms and cylinders. Find the area of the base or the height. |
8090 |
| Volume of Pyramids and Cones - Recognize types of pyramids. Learn the formulas for the volume of pyramids and cones. Calculate the volume of pyramids and cones. |
8091 |
| Pythagorean Theorem - Learn to apply the Pythagorean theorem. Calculate the length of the hypotenuse or the legs. Determine whether given measurements form a right triangle. Determine Pythagorean triples. |
8092
8130
8256 |
| Special Right Triangles - Calculate the hypotenuse and leg measurements of special right triangles. |
8093
8131
8257 |
| Circle Graphs - Determine central angles. Use proportions to determine percentages. Interpret graphs. |
8094
8132
8234 |
| Histograms - Create frequency charts and histograms. Interpret data from histograms. |
8095
8133
8258 |
| Scatter Plots - Create scatter plots. Determine correlation. Predict correlation without plotting. |
8096
8134
8261 |
| Stem-and-Leaf Plots - Create stem-and-leaf plots. Interpret plots. Find mode and median. Use double plots. |
8097
8135
8259 |
| Box-and-Whisker Plots - Identify extremes, quartiles, median, and range of an ordered set. Graph box-and-whisker plots. Interpret plots. Compare two sets of data. |
8098
8136
8260 |
| Probability of Events - Recognize dependent and independent events. Calculate the probability of single and compound independent events. Calculate the probability of dependent events. |
8099
8137
8262 |
| Combinations and Permutations - Determine expressions for permutations and combinations. Learn factorial notation. Calculate permutations and combinations. |
8100
8138
8263 |
| Number Combinations - Review strategies to solve a problem. Solve a problem using all possibilities, a table, and patterns. |
8139 |
| Number Expansion - Review strategies to solve a problem. Solve a problem using a simpler problem, drawings, a table, and patterns. |
8140 |
| Number Sequences - Review strategies to solve a problem. Solve a problem by finding a pattern and guessing. |
8141 |
| Area - Review strategies to solve a problem. Solve a problem by using a table, drawings, and guessing. |
8142 |
| Probability - Solve a problem using a table. |
8143 |
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