What do you Expect- Carnival Project

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Moving Straight Ahead Test

Preparation Guide for

Moving Straight Ahead Unit Test This Week - Friday

Essential Learnings - students should know how to:

• Translate information about linear relationships given a table, a graph, or an equation to one of the other forms.

• Solve problems and make decisions about linear relationships using the information given in tables, graphs, and equations.

Additionally, students should be able to:

• Construct tables, graphs and symbolic equations.
• Recognize linear relationships
• Solve an equation for an unknown.
• Find x or y when you substitute in the other value in an equation.
• Find the slope of a line given two points on a line or given an equation.
• Find the point of intersection of two lines given a graph, a table or two equations.
• Find y-intercept when given an equation.
• Be able to use and understand the vocabulary terms we have learned in class such as linear relationship, the point of intersection, y-intercept, slope, coefficient, rise, run, horizontal, vertical, coordinate pair, etc.

Focus questions/ problems - students should study by reviewing & redoing the following:

• The packet with 20 practice problems solving for x.
• These specific sections from the Moving Straight Ahead book; Problem 1.2, Problem 1.3, Problem 3.4, Problem 3.5 & Problem 4.2.

The test prep practice sheets from class, Click here to access

Review Packet Answer Key

Comparing and Scaling Assessment

Prepare for the Comparing and Scaling 

Unit Test on 4/03!

Click here to access the study guide for Comparing and Scaling.

Click here to access the study packet

Click here to access the study packet - Answer Key

Pi Day Challenge

Pi Day Challenge Link

Comparing and Scaling - New Unit

Welcome to our new unit focusing on ratios, rates, percents, and proportions.

Investigation 1: Ways of Comparing: Ratios and Proportions

Investigation 1 focuses on different strategies for comparing quantities—using ratios, fractions, percents. Students learn what different types of comparative statements say about data given. They are asked to write comparative statements using ratios and differences that describe data. 

We have completed Investigation 1.1 -1.2 in the new Comparing and Scaling Book.
We focused on the ability to make comparisons of quantitative data. 
We focused on making comparisons through:
1. ratios
2. differences
3. percents
4. simplified ratios

Further, we stressed the importance of making comparisons between part-to-part or part-to-whole. 

Paper Pool Unit Project - Comparing and Scaling

Comparing and Scaling Unit Project - Paper Pool

Paper Pool Project- Click here to access.

Online Paper Pool Interactive site

Paper Pool Table- Click to Access

Stretching and Shrinking Unit Assessment

Study Guide for Stretching & Shrinking Unit Test

Assessment will be on Thursday, February 15th.

Essential Learnings:

• Apply coordinate rules to stretch or shrink shapes and then plot them.
• Understand ways that stretching or shrinking a figure affects lengths, angle measures, perimeter and area.

Specific Skills:

• Draw shapes on coordinate grids and use coordinate rules to stretch (x, y), shrink and move the shapes.
• Determine the way that stretching and shrinking a figure affects lengths, angle measures, perimeters, and areas.

• Identify similar polygons and use scale factor and side length ratios to prove similarity between polygons.

• Calculate scale factor of two similar shapes and find measures of angles in similar polygons.
• Apply relationship of scale factor to perimeter and area.
• Use the properties of similarity to find distances and heights that you can’t measure.
• Use specific vocabulary appropriately, use the terms we have learned and discussed in class - specific vocabulary is posted in the classrooms as well as on the Math Blog.

Material to Review:

1. Review and redo problems from the unit Check-ins, Checks for Understanding, warm up problems, in-class practice sheets.
2. Problems from the text: Problem 2.2 (pages 30 & 31), page 32 the definition of similar (the two bullet points under the bold word), Problem 2.3 (pages 34 & 35), Problem 3.1 (page 52), Problem 41. B (page 83), Problem 4.2 (page 84), Problem 4.4 D (page 89).  
3. Unit Review in your book (pgs. 108-110) specifically #s 2, 3, 4, 5 & 6.

Click here to link to the Study Guide for the Stretching and Shrinking Unit Test.  The answers accompany the documents.

The Reflection on page 104 #1 a,b; 2a,b and 3 is helpful to clarify your understanding.

Looking Back on p. 108-110

# 1a-f, 2 a,b and 5.

Pattern Block Site

Pattern Blocks - 

Click here

Some new Math Games

Chomp

Chomp - UCLA Math

Othello- Online
http://www.othelloonline.org/reversi.php

Cram

Cram is a visual game played on a grid of squares. 4×4 or 6×6 are common, but encourage your students to try other (even irregular) board sizes. Two players compete, placing 2×1 rectangles onto the grid. The last player to successfully place a piece wins.

Here is a sample Cram game played on a 4×4 grid. Eventually, red cannot make a move.

Sprouts

Sprouts is a dot and line game played with just paper and pencil. Students draw a small set of dots to begin (even two dots is enough). The object is to continue connecting those dots with lines.

1. Connect two dots with a line (curvy is fine).
2. Put a new dot somewhere on that line.
3. Repeat.
4. Each dot can only have three lines connected to it.
5. Lines may never cross each other.
6. You lose when you can’t draw another line.

In this sample, there is only one dot remaining in the end with fewer than three connections, so the player cannot make a new line.

Stretching and Shrinking Unit Project

Examples of past projects...

Click here to access the Unit Project - Google Sketch-up

Starting a New Unit- Stretching and Shrinking

Common Core Standards for this Unit:

• 7.RP.A.2 Recognize and represent proportional relationships between quantities.
• 7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
• 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.

Goals for this Unit:

• Similar Figures Understand what it means for figures to be similar.

- Identify similar figures by comparing corresponding sides and angles

- Use scale factors and ratios to describe relationships among the side lengths, perimeters, and areas of similar figures          

- Use algebraic rules to produce similar figures

- Recognize when a rule shrinks or enlarges a figure

• Reasoning With Similar Figures Develop strategies for using similar figures to solve problems

- Predict the ways that stretching or shrinking a figure will affect side lengths, angle measures, perimeters, and areas

- Use scale factors or ratios to find missing side lengths in a pair of similar figures

- Use similarity to solve real-world problems

ATN - Study Guide and Packet

Your Unit Assessment will be on Thursday, December 21st.

Here is the Study Packet

Click here to access

Here are the answers to the study packet.

Click here to access.

Have fun reviewing!

Inv 3 - Multiplying and Dividing Integers

Problem 3.1 -

Focus Question: How is the multiplication of two integers represented on a number line and a chip board?

Problem 3.2

Focus Question: What algorithm can you use for multiplying integers?

Problem 3.3

Focus Questions: What algorithm can you use for dividing integers?How are multiplication and division of integers related?

Click here to access the online Integer Product Game.

Brain Rush

Click here to access a multiplication game

Click here to access a positive/negative game with integers

multiply with negatives

multiply with positive and negative

Hour of Code is here!

Hour of Code links

Click here to access coding resources

Inv 2.1

Focus Question: How can you predict whether the result of an addition of two numbers will be positive, negative, or zero?

Adding Integers

Online Help Math is Fun Site:

Adding and Subtracting Negative Numbers

Click here to access

Decimals and Fractions

Inv 1.4 - The Chip Model

Problem 1.4

Focus Question: How can you use a chip model to represent addition and subtraction?

In this investigation, we will be using chips to represent positive and negative integers. 

You may have heard the terms, "In the red" (meaning you owe or have a negative amount of money) and "In the black"(meaning have a positive amount of money)

In the image above, there are black positive chips and red negative chips on the board. Some red and black chips have already been put together in "zero pairs" that cancel each other out. Is this image "in the black" or "In the red"? How do you know?

Now try for yourself: 

CLICK HERE TO ACCESS THE ONLINE CHIP MODEL

Inv 1.3- Number lines

Problem 1.3 -

Focus Question: How can you write a number sentence to represent a change on a number line, and how can you use a number line to represent a number sentence?

Help Link to a site on number sentences and number lines.

In a number sentence, it is very important to have the following

• A starting value
• A change in value
• An ending value.

Example:                      112˚ F + n = 40˚ F

                                                               start            change    ending

Inv 1.2 - Plotting Inequaltiies

EQ: How can you use a number line to compare two numbers?

Help Video
Plotting Inequalities

Symbols

Practice ONLINE!
Link to Practicing Plotting Inequalities

Inv 1.1 and 1.2

Helpful Links
Great site on adding and subtracting positive and negative numbers.

Great Site on Understanding the Number Line

Helpful link from Math Plant on Rational Numbers

GUIDED NOTES
Click here to access the guided notes to Inv 1.1 and 1.2


ESSENTIAL QUESTIONS

Problem 1.1

Focus Question: How can you find the total value of a combination of positive and negative numbers?

Problem 1.2

Focus Question: How can you use the number line to compare two numbers?

Comparing Integers

Accentuate the Negative -Operations with Integers

Unit Goals:

In this unit, the focus is on understanding and developing systematic ways to add, subtract, multiply, and divide positive and negative numbers. Students will develop algorithms for computations and will use the order of operations, the Commutative Property, and the Distributive Property to solve problems.

Important concepts outlined below.