Unit / Time

Essential   Questions

Content

Skills

Assessments

Standards

Chapter 1 (Aug./ Sept.)

Why is it important to represent data visually?

What are trend lines, and why are they important?

- Interpret Graphs

- Making Bar Graphs

- Making Circle Graphs

- Line Plots

- Stem & Leaf Diagrams

- Mean, Median, Mode,   

& Range

- Line Graphs

-Scatter Plots & Relationships

-Trend Lines

- Read and interpret bar graphs.

- Read and interpret circle graphs.

- Create a bar graph from a table of data.

- Create a double bar graph.

- Make a line plot.

- Design a stem and leaf diagram.

- Find the mean, median, mode and range from a set of data.

- Decide if the mean, median, or mode best summarizes a set of data.

- Read and interpret line graphs.

- Recognize trends in data.

- Read and interpret scatter plots.

- Design scatter plots.

- Construct trend lines.

-Use trend lines to make predictions.

- Daily Journal Entries

- Homework

- Quizzes (1A& 1B)

- Chapter 1 Test

- Project: (Conduct a Survey then Analyze & Represent the Data)

2.1.8 (a.)

2.2.8 (g, h)

2.4.8 (a, f)

2.5.8 (a-d)

2.6.8 (a-g)

2.7.8 (b, e)

Chapter 2

(Sept.)

Why must there be an order of operations? (Summarize and illustrate the processes involved in the order of operations.)

How can writing algebraic formulas help us solve problems with one variable?

- Formulas & Variables

- Order of Operations

- Formulas & Tables

- Inverse Operations

- Translating Words into Expressions

- Solving Addition and Subtraction Equations

- Solving Multiplication and Division Equations

- Problem Solving with Two Step Equations

- Use formulas to show relationships among quantities.

- Describe how variables represent quantities.

- Substitute values for variables.

- Use order of operations to find the values of expressions.

- Summarize the associative, commutative, and distributive properties.

- Generate a table using an equation.

- Produce a formula when given a table of values.

- Analyze and use inverse operations.

- Translate words into algebraic expressions.

- Translate algebraic expressions into words and phrases.

- Solve addition and subtraction equations using inverse operations.

- Solve multiplication and division equations using inverse operations.

- Evaluate an equation using more than one inverse operation.

- Daily Journal Entries

- Homework

- Quizzes (2A& 2B)

- Chapter 2 Test

- 15 Day Report

- Project: (?)

2.1.8 (a, b, f, g)

2.2.8 (a-c, f-h)

2.3.8 (a)

2.4.8 (b)

2.5.8 (a-d)

2.7.8 (b, e)

2.8.8 (b, c, e-j)

Chapter 3

(Oct.)

How does the estimation, rounding, comparing, and ordering of whole numbers and decimals aid in problem solving?

How are GCF’s and LCM’s used in work with fractions?

- Place Values

- Estimating by Rounding

- Sums & Differences of Decimals

- Products & Quotients of Decimals

- Powers of 10 & Scientific Notation

- Divisibility & Prime Factorization

- GCF & LCM

- Equivalent Fractions & Lowest Terms

- Comparing & Ordering Fractions

- Converting Between Fractions & Decimals

- Compare and order decimals.

- Round to the nearest decimal place.

- Estimate by rounding to whole numbers.

- Use front-end estimation and compatible numbers to estimate.

- Solve addition and subtraction equations containing decimals.

- Multiply and divide decimal numbers.

- Solve multiplication and division equations containing decimals.

- Use exponents to write powers of 10.

- Write large numbers in scientific notation.

- Test numbers for divisibility.

- Write any number as a product of primes.

- Find the greatest common factor of a pair of numbers.

- Find the least common multiple of a pair of numbers.

- Write equivalent fractions.

- Rewrite fractions in lowest terms.

- Compare the values of fractions.

- Order fractions.

- Convert fractions to decimals.

- Convert decimals to fractions.

- Daily Journal Entries

- Homework

- Quizzes (3A& 3B)

- Chapter 3 Test

- 30 Day Report

- Project: (?)

2.1.8 (a-d)

2.2.8 (a, b, f)

2.4.8 (b, d, f)

2.5.8 (a-d)

2.6.8 (c)

Chapter 4

(Oct./ Nov.)

What are different ways fractions are used to represent parts of a whole?

What can be done instead of dividing by fractions?

Is it all ways necessary to rename fractions and mixed numbers with sums and differences?

- Fractions & Mixed Numbers

- Adding & Subtracting Fractions

- Adding & Subtracting Mixed Numbers

- Multiplying Fractions

- Multiplying Mixed Numbers

- Dividing Fractions & Mixed Numbers

- Estimate solutions to problems involving fractions.

- Find sums and differences of fractions.

- Solve equations involving fractions.

- Find sums and differences of mixed numbers.

- Solve equations containing mixed numbers.

- Multiply fractions

- Multiply mixed numbers.

- Divide fractions and mixed numbers.

- Daily Journal Entries

- Homework

- Quizzes (4A& 4B)

- Chapter 4 Test

- Project: (?)

2.1.8 (a, b, d, g)

2.2.8 (b, e, f)

2.4.8 (a, b)

2.5.8 (a-d)

2.6.8 (a)

2.8.8 (f, g)

2.11.8 (c)

Chapter 5

(Nov.)

What is the relationship between shapes and measurement?  (Lines are straight 1D & have measures of length, Figures are 2D & have measures of units squared)

How can the Pythagorean theorem be used to solve everyday problems?

- Angles

- Parallel and Perpendicular Lines

- Triangles and Quadrilaterals

- Polygons

- Squares and Square Roots

- The Pythagorean Theorem

- Areas of Triangles

- Areas of Parallelograms & Trapezoids

- Areas of Irregular Figures

- Pi & Circumference

- Areas of Circles

- Name and measure angles.

- Recognize parallel lines and summarize their properties.

- Recognize perpendicular lines and summarize their properties.

- Name and classify triangles.

- Name and classify quadrilaterals.

- Compute the measures of angles in these figures.

- Classify polygons.

- Find the angle sum of polygons.

- Examine the relationship between perimeter and area.

- Find the length of a square when you know its area

- Find the square root of a number.

- Use the special relationship among the sides of a right triangle.

- Discover the Pythagorean Theorem.

- Design a formula for the area of a triangle.

- Design a formula for the area of a parallelogram.

- Design a formula for the area of a trapezoid.

- Design formulas for the areas of irregular figures.

- Discover the ratio between the circumference and diameter of circles

- Design a formula for the areas of circles.

- Daily Journal Entries

- Homework

- Quizzes (5A, 5B,  & 11B )

- Chapter 5 Test

- 15 Day Report

- Project: (Ah Chute! Maximizing Areas)

2.1.8 (a-c, e, g)

2.2.8 (a, b, e, f)

2.3.8 (a, c, d, e)

2.5.8 (a-d)

2.6.8 (a)

2.8.8 (a, b, d, j)

2.9.8 (a-f)

2.10.8 (a, b)

Chapter 6

(Nov./ Dec.)

How does cross multiplication of ratios different from multiplication of fractions?

How are proportions used to solve everyday situations?

- Exploring Ratios

- Estimating Ratios

- Equivalent Ratios and Rates

- Using Tables to Explore Ratios and Rates

- Creating Proportions

- Testing for Proportionality

- Solving Proportions Using Unit Rates

- Cross Multiplication

- Summarize a ratio.

- Compare quantities using division.

- Compare two quantities with different units of measure.

- Make comparisons to one unit.

- Find equivalent rates and ratios.

- Use a table to find equivalent ratios and rates.

- Use equivalent ratios to write proportions.

- Recognize proportional relationships.

- Use unit rates to solve a proportion.

- Use cross multiplication to solve a proportion.

- Use cross multiplication to check whether two ratios form a proportion.

- Daily Journal Entries

- Homework

- Quizzes (6A& 6B)

- Chapter 6 Test

- 30 Day Report

- Project: (Measuring Trees using Proportions)

2.1.8 (a-d, f, g)

2.2.8 (a-f)

2.3.8 (a, b)

2.4.8 (a, b, d, f)

2.5.8 (a-d)

2.6.8 (a-d, f, g)

2.7.8 (b-e)

2.8.8 (a-d, h, i)

2.11.8 (b)

Chapter 7

(Dec./ Jan.)

Why can the use of units help check the correctness of a problem?

Where are scales (not the ones you step on) used?

- Creating & Exploring Similar Figures

- Finding Measures of Similar Figures

- Perimeters & Areas of Similar Figures

- Estimating Actual & Scale Distances

- Calculating with Scales

- Problem Solving Using Maps

- Creating Scale Drawings and Scale Models

- Choosing Appropriate Rates and Units

- Converting Units

- Converting Rates

- Read and understand scales.

- Estimate distances from maps using scales.

- Use scales and scale drawings to calculate actual distances.

- Use scales to read maps and make decisions.

- Select a reasonable scale for a drawing, map, or model.

- Select an appropriate scale for a particular situation.

- Write reciprocal rates that have the same meaning.

- Convert measurements from one unit to another.

- Solve problems involving conversion of rates.

- Identify similar figures.

- Write similarity statements.

- Find missing side lengths in similar figures.

- Use shadows to find the heights of tall objects.

- Use the scale factor to find perimeters and areas of similar figures.

- Daily Journal Entries

- Homework

- Quizzes (7A& 7B)

- Chapter 7 Test

- Project: (Scale Drawings)

- Project: (How Fast Are You?)

- Project: (That’s a big tree!)

2.1.8 (a, d, g)

2.2.8 (a, b)

2.3.8 (a, b, d-g)

2.4.8 (a, b, d)

2.5.8 (a-d)

2.6.8 (a)

2.7.8 (d)

2.8.8 (a, c, j)

2.9.8 (k)

2.10.8 (b)

Chapter 8

(Jan./ Feb.)

What is the relationship between fractions and percents?

How is mental math used to solve problems and check reasonableness of answers?

- Understanding Percents

- Linking Fractions, Decimals, & Percents

- Percents Greater than 100 & Less than 1

- Finding Percent of a Number Mentally

- Using Equations to Solve Percent Problems

- Solving Percent Problems with Proportions

- Percent Increase & Decrease

- Compare quantities using percents.

- Understand the relationships between percents, fractions, and decimals.

- Use percents that are less than one and greater than 100.

- Use mental math to find the percent of a number.

- Calculate the tip of any meal mentally.

- Use equations to solve problems involving percents.

- Use proportions to solve percent problems.

- Solve problems involving percent increase and decrease.

- Daily Journal Entries

- Homework

- Quizzes (8A& 8B)

- Chapter 8 Test

- 15 Day Report

- Project: (?)

2.1.8 (a, b, f, g)

2.2.8 (a-f)

2.3.8 (b)

2.4.8 (b, d, f)

2.5.8 (a-d)

2.6.8 (a, g)

2.8.8 (a-f, h, j)

2.11.8 (c)

Chapter 9

(Feb./ March)

How are ordered pairs used to describe the location of a point?

What are the rules for operations with integers?

- Using Integers to Represent Quantities

- Comparing & Ordering Integers

- The Coordinate Plane

- Adding Integers

- Subtracting Integers

- Multiplying Integers

- Dividing Integers

- Use integers to represent real-life quantities.

- Find the opposite of an integer.

- Find the absolute value of an integer.

- Compare and order integers.

- Graph points on a coordinate plane.

- Summarize and illustrate the process of adding integers.

- Summarize and illustrate the process of subtracting integers.

- Summarize and illustrate the process of multiplying integers.

- Summarize and illustrate the process of dividing integers.

- Daily Journal Entries

- Homework

- Quizzes (9A& 9B)

- Chapter 9 Test

- 30 Day Report

- Project: (Bungee Action Figures)

2.1.8 (a, c, f, g)

2.2.8 (a-c, f)

2.4.8 (a-d)

2.5.8 (a-d)

2.6.8 (a, d, g)

2.7.8 (d, e)

Chapter 10

(March/ April)

How can equations be used to represent physical situations?

Why are graphs important when working with equations?

- Quantities, Constants, & Variables

- Relating Graphs to Stories

- Tables & Expressions

- Understanding & Writing Equations

- Equations & Graphs

- Solving Equations Using Tables

- Solving Equations Using Graphs

- Relating Equations & Inequalities

- Tables & Expressions

- Integer Addition & Subtraction Equations

- Integer Multiplication & Division Equations

- Solving Two Step Equations

- Problem Solving with Integer Equations

- Identify variables and constants.

- Match a graph to a story.

- Match a story to a graph.

- Write rules for sequences.

- Identify arithmetic and geometric sequences.

- Write an equation from a table of values.

- Draw the graph of an equation.

- Use tables to solve equations.

- Use graphs to solve equations.

- Graph inequalities on a number line.

- Write the inequality represented by a graph.

- Solve addition and subtraction equations involving positive and negative numbers.

- Solve two-step equations involving positive and negative numbers.

- Solve real-world problems by using integer equations.

- Represent a real-world concept with an integer equation.

- Daily Journal Entries

- Homework

- Quizzes (10A& 10B)

- Chapter 10 Test

- Project: (Wild Growing Lizards)

2.1.8 (a-g)

2.2.8 (a-c)

2.3.8 (a, b, d)

2.4.8 (a-e)

2.5.8 (a-d)

2.6.8 (a, c)

2.7.8 (b-d)

2.8.8 (a-j)

2.11.8 (a-c)

Chapter 11

(April/ May)

Why are isometric and orthographic drawings used in different occupations?

What are the relationships between surface areas and volumes in polyhedrons?

- Exploring Polyhedrons

- Isometric & Orthographic Drawings

- Translations

- Reflections & Line Symmetry

- Rotations & Rotational Symmetry

- Nets & Surface Areas of Polyhedrons: Prisms

- Nets & Surface Areas of Polyhedrons: Pyramids

- Nets & Surface Areas of Cylinders

- Nets & Surface Areas of Cones

- Volumes of Prisms

- Volumes of Pyramids

- Volumes of Cylinders

- Volumes of Cones

- Name, sketch, and classify assorted polyhedrons.

- Match isometric and orthographic views.

- Draw front, side, and top views of a solid.

- Draw a figure in perspective from its top, side, and front views.

- Draw translations on a coordinate plane.

- Reflect figures on a coordinate plane.

- Identify lines of symmetry.

- Write rules for translations.

- Identify figures with rotational symmetry.

- Determine how far a figure has been rotated.

- Rotate figures on a coordinate plane.

- Draft a net of a prism.

- Devise a formula for the surface area of prisms.

- Draft a net of a cylinder.

- Devise a formula for the surface area of cylinders

- Draft a net of a pyramid.

- Devise a formula for the surface area of pyramid.

- Draft a net of a cone.

- Devise a formula for the surface area of cones.

- Create a formula for the volume of prisms.

- Create a formula for the volume of cylinders.

- Create a formula for the volume of pyramids.

- Create a formula for the volume of cones.

- Daily Journal Entries

- Homework

- Quizzes (11A& 11B)

- Chapter 11 Test

- 15 Day Report

- Project: (Penny Barges)

- Project: (Tessellations)

2.1.8 (a-e, g)

2.2.8 (a-c, e, f)

2.3.8 (a, d-g)

2.4.8 (a-e)

2.5.8 (a-d)

2.6.8 (a)

2.7.8 (b, d, e)

2.8.8 (a-e)

2.9.8 (a, c, d, f-k)

2.10.8 (a, b)

Chapter 12

(May/ June)

How is probability used to predict the outcome in problem solving?

- Counting Methods

- Arrangements

- Choosing a Group

- Odds & Fairness

- Probability

- Experimental Probability

- Independent & Dependent Events

- Create tree diagrams and use the Counting Principle to find all of the outcomes for a set of choices.

- Count the number of ways items can be arranged.

- Use factorial products to count arrangements.

- Calculate the number of ways to choose some items out of a larger group when the order is unimportant.

- Find the odds that an event happens.

- Find the probability of an event.

- Use experimental probability to estimate probabilities.

- Find probabilities involving geometric figures.

- Compare and contrast dependent and independent events.

- Find probabilities of dependent and independent events.

- Daily Journal Entries

- Homework

- Quizzes (12A& 12B)

- Chapter 11 Test

- 30 Day Report

- Project: (Design & Conduct Games Using Probability)

2.1.8 (a-c, g)

2.2.8 (b)

2.4.8 (a-e)

2.5.8 (a-d)

2.6.8 (a-d, g)

2.7.8 (a-e)