CA Mathematics Academic Content Standards matched to Computer Literacy Press: Math with Computers

CA Mathematics Academic Content Standards
matched to
Computer Literacy Press: Math with Computers

1.1 compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line

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Using the Spreadsheet

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Text pp. 2-24

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1.2 interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities using appropriate notations (a/b, a to b, a:b)

Component:

Perfect Percents

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Text pp. 83-97

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1.3 use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as multiplication of both sides of an equation by a multiplicative inverse.

Component:

Perfect Percents

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Text pp. 83-97

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Story Problems to Perplex Your Brain

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Text pp. 101-110

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How Do Your Rate?

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Text pp. 114-128

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Story Problems for Review and Practice

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Text pp. 197-216

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1.4 calculate given percentages of quantities and solve problems involving discounts at sales, interest earned and tips

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Perfect Percents

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Text pp. 83-97

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Story Problems to Perplex Your Brain

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Text pp. 101-110

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Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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Crunching, Charting, and Cruising the Numbers

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Text pp. 179-193

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Story Problems for Review and Practice

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Text pp. 197-216

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1.3 apply algebraic order of operations and the commutative, associative and distributive properties to evaluate expressions and justify each step in the process

Component:

The Order of Operations and the Sum Function

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Text pp. 46-62

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1.4 solve problems using correct order of operations manually and by using a scientific calculator

Component:

The Order of Operations and the Sum Function

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Text pp. 46-62

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2.1 convert from one unit of measurement to another (e.g., from feet to miles, from centimeters to inches)

Component:

Using the Spreadsheet

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Text pp. 2-24

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2.2 demonstrate understanding that rate is a measure of one quantity per unit value of another quantity

Component:

Fantastic Formulas

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Text pp. 27-43

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Perfect Percents

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Text pp. 83-97

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How Do Your Rate?

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Text pp. 114-128

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2.3 solve problems involving rates, average speed, distance and time

Component:

Using the Spreadsheet

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Text pp. 2-24

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Fantastic Formulas

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Text pp. 27-43

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Interested:

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Suggested:

Interested:

Component:

Perfect Percents

Reference:

Text pp. 83-97

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Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

Component:

Let's Shape Up!

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Text pp. 130-142

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Story Problems to Shape Your Mind

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Text pp. 145-155

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Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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Component:

Crunching, Charting, and Cruising the Numbers

Reference:

Text pp. 179-193

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Story Problems for Review and Practice

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Text pp. 197-216

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3.1 use variables in expressions describing geometric quantities(e.g., P = 2w + 2l, A = 1/2 bh, C = pd , which give the perimeter of a rectangle, area of a triangle, and circumference of a circle, respectively

Component:

Let's Shape Up!

Reference:

Text pp. 130-142

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Story Problems to Shape Your Mind

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Text pp. 145-155

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Story Problems for Review and Practice

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Text pp. 197-216

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1.1 understand the concept of a constant number like p. Know the formula for the circumference and area of a circle

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Let's Shape Up!

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Text pp. 130-142

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Story Problems to Shape Your Mind

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Text pp. 145-155

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Story Problems for Review and Practice

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Text pp. 197-216

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1.2 know common estimates of p(3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles; compare with actual measurements

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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How Do Your Rate?

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Text pp. 114-128

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Component:

Let's Shape Up!

Reference:

Text pp. 130-142

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Suggested:

Interested:

Component:

Story Problems to Shape Your Mind

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Text pp. 145-155

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Interested:

Component:

Story Problems for Review and Practice

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Text pp. 197-216

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1.3 know and use the formulas for the volume of triangular prisms and cylinders (area of base x height); compare and explain the similarity between these formulas and the formula for the volume of a rectangular solid

Component:

Story Problems to Shape Your Mind

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Text pp. 145-155

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1.1 compute the range, mean, median and mode of data sets

Component:

The Order of Operations and the Sum Function

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Text pp. 46-62

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Statistics via Spreadsheet

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Text pp. 66-81

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Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Crunching, Charting, and Cruising the Numbers

Reference:

Text pp. 179-193

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1.2 understand how additional data added to data sets can effect these computations of measures of central tendency

Component:

Using the Spreadsheet

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Text pp. 2-24

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Fantastic Formulas

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Text pp. 27-43

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Statistics via Spreadsheet

Reference:

Text pp. 66-81

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Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Interested:

Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

Required:

Suggested:

Interested:

Component:

Crunching, Charting, and Cruising the Numbers

Reference:

Text pp. 179-193

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Interested:

Component:

Story Problems for Review and Practice

Reference:

Text pp. 197-216

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1.3 understand how the inclusion or exclusion of outliers affects measures of central tendency

Component:

Story Problems to Perplex Your Brain

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Text pp. 101-110

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1.4 know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context

Component:

Statistics via Spreadsheet

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Text pp. 66-81

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Story Problems to Perplex Your Brain

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Text pp. 101-110

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2.1 compare different samples from a population with the data from the entire population and identify when it makes sense to use a sample

Component:

Statistics via Spreadsheet

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Text pp. 66-81

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2.3 analyze data displays and explain how the way the question was asked might have influenced the results obtained, and/or how the way the results were displayed might have influenced the conclusions reached

Component:

Statistics via Spreadsheet

Reference:

Text pp. 66-81

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Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Interested:

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How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

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Story Problems to Shape Your Mind

Reference:

Text pp. 145-155

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Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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2.4 identify data that represent sampling and explain why the sample (and the display) may be biased

Component:

Statistics via Spreadsheet

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Text pp. 66-81

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3.3 represent probabilities as ratios, proportions, and decimals between 0 and 1, and percents between 0 and 100 and check that probabilities computed are reasonable; know how this is related to the probability of an event not occurring

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Suggested:

Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

Component:

Story Problems for Review and Practice

Reference:

Text pp. 197-216

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1.1 analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information and observing patterns

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Let's Shape Up!

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Text pp. 130-142

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1.3 determine when and how to break a problem into simpler parts

Component:

The Order of Operations and the Sum Function

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Text pp. 46-62

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2.1 use estimation to verify the reasonableness of calculated results

Component:

Using the Spreadsheet

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Text pp. 2-24

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The Order of Operations and the Sum Function

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Text pp. 46-62

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How Do Your Rate?

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Text pp. 114-128

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2.2 apply strategies and results from simpler problems to more complex problems

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Story Problems to Perplex Your Brain

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Text pp. 101-110

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2.3 estimate unknown quantities graphically and solve for them using logical reasoning, and arithmetic and algebraic techniques

Component:

Using the Spreadsheet

Reference:

Text pp. 2-24

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Fantastic Formulas

Reference:

Text pp. 27-43

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Interested:

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Interested:

Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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2.4 use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams and models to explain mathematical reasoning

Component:

Using the Spreadsheet

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Text pp. 2-24

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Fantastic Formulas

Reference:

Text pp. 27-43

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Interested:

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

Required:

Suggested:

Interested:

Component:

Story Problems to Shape Your Mind

Reference:

Text pp. 145-155

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Interested:

Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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2.5 express the solution clearly and logically using appropriate mathematical notation and terms and clear language, and support solutions with evidence, in both verbal and symbolic work

Component:

Using the Spreadsheet

Reference:

Text pp. 2-24

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Fantastic Formulas

Reference:

Text pp. 27-43

Required:

Suggested:

Interested:

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

Required:

Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

Required:

Suggested:

Interested:

Component:

Story Problems to Shape Your Mind

Reference:

Text pp. 145-155

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Interested:

Component:

Charting Pies and Discovering the Magical Time Value of Money

Reference:

Test pp. 158-174

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2.6 indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy

Component:

Using the Spreadsheet

Reference:

Text pp. 2-24

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The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Suggested:

Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

2.7 make precise calculations and check the validity of the results from the context of the problem

Component:

Statistics via Spreadsheet

Reference:

Text pp. 66-81

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Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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3.1 evaluate the reasonableness of the solution in the context of the original situation

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

Component:

Let's Shape Up!

Reference:

Text pp. 130-142

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3.2 note method of deriving the solution and demonstrate conceptual understanding of the derivation by solving similar problems

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Component:

Statistics via Spreadsheet

Reference:

Text pp. 66-81

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Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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3.3 develop generalizations of the results obtained and the strategies used and extend them to new problem situations

Component:

The Order of Operations and the Sum Function

Reference:

Text pp. 46-62

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Component:

Statistics via Spreadsheet

Reference:

Text pp. 66-81

Required:

Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Suggested:

Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

1.1 read, write and compare rational numbers in scientific notation (positive and negative powers of 10), approximate numbers using scientific notation

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Using the Spreadsheet

Reference:

Text pp. 2-24

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1.2 add, subtract, multiply and divide rational numbers, integers, fractions and decimals and take rational numbers to whole number powers

Component:

Let's Shape Up!

Reference:

Text pp. 130-142

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1.3 convert fractions to decimals and percents and use these representations in estimation, computation and applications

Component:

Using the Spreadsheet

Reference:

Text pp. 2-24

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Component:

Perfect Percents

Reference:

Text pp. 83-97

Required:

Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

Required:

Suggested:

Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

Required:

Suggested:

Interested:

Component:

Story Problems for Review and Practice

Reference:

Text pp. 197-216

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1.5 know that every fraction is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions

Component:

Using the Spreadsheet

Reference:

Text pp. 2-24

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Component:

Perfect Percents

Reference:

Text pp. 83-97

Required:

Suggested:

Interested:

Component:

Story Problems to Perplex Your Brain

Reference:

Text pp. 101-110

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Suggested:

Interested:

Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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Interested:

1.6 calculate percent of increases and decreases of a quantity

Component:

Perfect Percents

Reference:

Text pp. 83-97

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Component:

How Do Your Rate?

Reference:

Text pp. 114-128

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1.7 solve problems that involve discounts, markups, commissions, profit and simple compound interest

Component:

Perfect Percents

Reference:

Text pp. 83-97

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