Table of Contents Left Page

1 Left Page Table of Contents Right Page Nuggets of Knowledge 0 Table of Contents 1 Table of Contents 2 Table of Contents 3 Module 1 Learning Targts 4 Rate/Ratio/Percent Notes 5 Lesson 6 Gallery Walk 6 Proportional Relationships Notes 7 Graphs of Proportional & Not proportion Relationships 8 Percent Notes 9 Costa's Levels of Questioning 10 Proportional Relationship Notes 11 Entry Squares 12 Lesson 20 & 21 Notes 13 Module 1 Quiz Refection 14 Lesson 21 Notes 15 Percent Notes (Simple Interest) 16 Percent Notes Continued 17 Classroom Scale factor table 18 Lesson 16 & Lesson 17 Notes 19 Classroom scale factor drawing 20 Lesson 18 & Lesson 19 Notes 21 Module 2 Learning Targets 22 7M2 Lesson 1 Video Notes 23 Real Number Sense Graphic 24 7M2 Lesson 2 Video Notes 25 Practice Adding/Subtracting Rational #s 26 7M2 Lesson 3/4 Notes 27 Foldable for Integers 28 7M2 Lesson 5/6 Notes 29 Integer Quick Drills 30 7M2 Lesson 7 Notes 31 Exponent Foldable 32 7M2 Lesson 8/9/10 Notes 33 Module 2 Reflection 34 7M2 Lesson 11/12/15/16 Notes 35 Order of Ops Entry Task 36 Exponential Form 37 Unit 3 Learning Targets 38 Unit 3 Vocab & Notes 39 Entry Boxes 40 Unit 3 Notes Continued 41 Quick Drills 42 Solving Equation Notes 43 Unit 3 Student Reflection 44 Solving Multi Step Equations 45 Entry Tasks 46 Property of Equality/Solution to Equation 47 2 Table of Contents Left Page Right Page Unit 4 Learning Targets 48 Shapes of Data Notes 49 MAD Entry Task 50 Data Lesson Summaries 51 Entry Boxes 52 Variability Graphics 53 Dotplot/Stem Leaf Plots 54 Frequency Table/Histogram Notes 55 Unit 4 Student Reflection 56 Box and Whisker Plot Notes 57 58 Tree Diagram Notes 59 Entry Boxes 60 Populations and Samples 61 Unit 5 Learning Targets 62 Angle Notes 63 Entry Boxes 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99

3 Table of Contents Left Page Right Page 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 4 Module 1 Ratio & Proportions Learning Targets and scoring Rubric Track your progress after each assessment Quiz 1 Quiz 2 Test 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. 7.RP.2 Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. 7.EE.3 Solve multi step real life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. 7.EE.4a Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations Score of of these 1 forms fluently. Score of 2 Score of 3 Score of 4 Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. I cannot: I can only partially: I can with minor errors: I can with no errors: 7.G.1 Solve Reason problems quantitatively involving & use scale drawings Reason of geometric quantitatively figures, & use including computing Reason actual quantitatively lengths & use and areas Reason quantitatively & use from units to a solve scale problems drawing and reproducing units a scale to solve drawing problems at a different scale. units to solve problems units to solve problems Interpret structure of Interpret structure of Interpret structure of Interpret structure of expressions expressions expressions expressions Create equations that describe Create equations that describe Create equations that describe Create equations that describe #s or relationships #s or relationships #s or relationships #s or relationships Understand solving equations Understand solving equations Understand solving equations Understand solving equations as process of reasoning & explain reasoning as process of reasoning & explain reasoning as process of reasoning & explain reasoning as process of reasoning & explain reasoning Solve equations in one variable Solve equations in one variable Solve equations in one variable Solve equations in one variable Represent & solve equations Represent & solve equations Represent & solve equations Represent & solve equations Interpret functions that arise in Interpret functions that arise in Interpret functions that arise in Interpret functions that arise in applications applications applications applications Analyze functions using Analyze functions using Analyze functions using Analyze functions using different representations different representations different representations different representations Build a function that models a Build a function that models a Build a function that models a Build a function that models a relationship between two quantities relationship between two quantities relationship between two quantities relationship between two quantities

5 Questions Rate / Ratios / Percents What are the 3 ways to write a ratio? How are a ratio and a rate the same and different? Percent per hundred P pecent is the same as Three ways to write % fraction decimal percent Ratio comparing 2 numbers fraction English colon 3 ways **write percent as % Equivalent Ratios Rate ratio with units Unit Rate rate with denominator of one ex 225 cans 977 cans 3 hours 8 hours To compare DIVIDE 75 cans per hour 1 122 cans per hour 1 Unit rate is for comparing rations and their rates (when using different units). Unit rate allows us to compare varying sizes by dividing ratios to get 1 as denominator. 6

7 Questions How does a table show a proportional relationship? Explain the elements of a proportional relationship? Proportional Relationships Measures in one amount are PROPORTIONAL to another amount if there is a positive number that for each first # you can multiply you get the 2nd #. EX X 2 3 4 y 10 15 20 for each x value, you get the y value by multiplying by 5 A relationship is proportional IF your 1st number gets multiplied or divided by the same number each time. EX (students create own example here) You get a proportional relationship when you multiply values by the same constant. 8 Not proportional Not proportional Not proportional proportional

9 Questions How do you find the price of something given the original amount and the percent? How do you know when to multiply or divide when solving % problems? Percent Notes Equation used to solve % problems Whole x Percent = Part decimal form Finding % of a whole. Percent Increase and Decrease Quantity = Percent x whole Jon has 15 original cards. He increased his collection by 5 cards. What is the % increase? Bob's tires...fred sold 165 tires which was 60% of the tires sold that month. What was the number of record tires sold? You can find the amount of a discount given the % off and original amount. If you don't know the original price you can find it by knowing the the % and sale price and dividing. 10

11 Questions What do you see in a proportional graph? Tables My x gets multiplied by same value each time to get my y Proportional Relationships Graphs passes through origin straight line Explain how you find the constant of proportion with table or equation? Equations y=k x VOCAB constant a specific number Variable a letter that represents a number (we can change it) Constant of proportionality the number in a proportional relationship that is being multipled A proportional relationship can be represented in a table, graph, or equation. The constant of proportionality can be used to create tables, graphs, and equations. 12 Express 9 hours as a percentage of 3 days. Identify the categories that apply to the given value. The price of a tent was decreased by 15% and sold for $76.49. What was the original price?

13 Questions How do you calculate the scale from a drawing? How does scale factor affect a drawing if a builder wants a bigger building? Lesson 20 : Scale Drawing Process: 1. Measure lengths and widths carefully with a ruler or tape measure. Record in an organized table. 2. Calculate the scale drawing lengths, widths and areas using what was learned in previous lessons. 3. Calculate the actual areas. 4. Begin by drawing the perimeter, windows and doorways. 5. Continue to draw the pieces of furniture making note of placement of objects (distance from nearest wall). 6. Check for reasonableness of measurements and calculations. Lesson 21 Changing Scale Factors: 1. To produce a scale drawing at a different scale, you must determine the new scale factor. The new scale factor is found by dividing the different (new drawing) scale factor by the original scale factor. 2. To find each new length, you can multiply each length in the original scale drawing by this new scale factor. In order to complete a scale drawing you need actual measurements and your scale factor. Using these you calculate your scale drawing and then draw your picture. 14 Module 1 Quiz Reflection What did I do well? What did I not do so well? What is my plan to improve what I did not do well?

15 Steps: Questions How do you change scale factors? What is the difference between an original scale drawing and a variation of the scale drawing? 1. Find each scale factor. 2. Divide new scale factor by original scale factor. 3. Divide the given length by the new scale factor (the quotient from the prior step) Lesson 21 : Variations of Scale Drawings with different scale factors are scale drawings of an original scale drawing. From a scale drawing at a different scale, the scale factor for the original scale drawing can be computed without information of the actual object, figure or picture. If you know your original scale factor and your new scale factor you can divide to find a scale factor to be used to change the sizes of your picture. 16 Lesson : Questions How do you find the amount for interest? Discount price = original price rate original price OR (1 rate) original price Commission = rate total sales amount Markup price = original price + rate original price OR (1 + rate) original price What is the difference between how you solve for a discount or a markup price? r is the percent of the principal that is paid over a period of time (usually per year). t is the time. P is the principle or the starting amount. r and t must be compatible. For example, if r is an annual interest rate, then t must be written in years. You can calculate a discount price or mark up if you have the original price and the rate. For a discount you subtract the rate times original price from the original price. For mark up you add instead of subtract.

17 Questions Lesson Percent means per hundred. percent is the same as. Write as short for percent. Usually there are three ways to write a number: a percent, a fraction, and a decimal. Fractions and decimals are related to the ratio of percent over. Lesson Visual models or numeric methods can be used to solve percent problems. Equaons can be used to solve percent problems using the basic equaon: OR 18 Classroom Bookshelf Back table cabinet storage desk Actual length Actual width Scale length Scale width Actual area Scale area 348" 372" 29 31 12946 in squared 899

19 Key Idea: Scale Drawing: a reduced or enlarged two dimensional drawing of an original twodimensional drawing. Questions Lesson 16 : Scale Drawing: A drawing in which all lengths between points or figures in the drawing are reduced or enlarged proportional to the lengths in the actual picture. A constant of proportionality exists between corresponding lengths of the two images. Reduction: The lengths in the scale drawing are smaller than those in the actual object or picture. Enlargement/Magnification: The lengths in the scale drawing are larger than those in the actual object or picture. One to one Correspondence: Each point in one figure corresponds to one and only one point in the second figure. Lesson 17 Steps to check for proportionality for scale drawing and original object/picture: 1. Measure lengths of scale drawing. Record on table. 2. Measure corresponding lengths on actual picture/drawing. Record on table. 3. Check for constant of proportionality. 20 Scale Drawing of classroom

21 Key Idea: The scale factor can be calculated from the ratio of any length in the Questions scale drawing to its corresponding length in the actual picture. The scale factor corresponds to the unit rate and the constant of proportionality. Scaling by factors greater than 1 enlarge the segment and scaling by factors less than 1 reduce the segment. Lesson 19 : Given the scale factor r representing the relationship between scale drawing length and actual length, the square of this scale factor, r 2, represents the relationship between scale drawing area and actual area. For example, if 1 inch on the scale drawing represents 4 inches of actual length, then the scale factor, r, is. On this same drawing, 1 square inch of scale drawing area would represent 16 square inches of actual area since r 2 is. 22

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25 26 Practice with Integers Practice with Rational Numbers

27 Questions 28 cover Integer Operations Foldable inside Addition + Subtraction Multiplication Division

29 Questions 30 Students tape their Integer Quick drills here. completed correct percent (correct/completed)=

31 Questions 32 Properties of Integers Foldable Cover flap Inside flap Inside flap Cover flap

33 34 Module 2 Reflection 1) Which learning targets did I do best on? 2) Which learning targets did I do the worst on? 3) Write a goal score for each learning target 2A 2B 2C 4) Now write an action statement with 2 specific actions you will take to accomplish your goal.

35 Questions What sign of a multiplicaation problem would you get if the signs were different? What is the difference between multi/dividing numbers and add/ subtrating rational numbers? When multiplying and dividing positive and negative numbers, the same signes give us positive #s, different signs give us a negative number. 36

37 Exponential Form Questions b x b is the base x is the exponent x b is the power example: expanded form 243 standard form exponential form b x x is even positive x is odd negative 38

39 Questions 40 Find the sum of 7g and 4g+2 Solve these equations. Explain HOW you got your answer. 1. y 17=203 Find the result when 13v+2 is subtracted from 11+5v 2. 3x=99 Explain how to solve the inequality below, then solve and graph. The sum of 3 consecutive integers is 51. What are the 3 integers?

41 Questions 42 Integer Quick Drills Students tape these into their INB

43 Questions How do you solve equations with one variable? How do you decide which inverse operation to use? Solving Equations *Balance idea what you do to one side you must also do to the other side ex x 3 = 12 add 3 to both +3 +3 sides *Opposite Operations to undo an operation you must do its inverse operation ex x 3 = 12 if you have a minus +3 you add to "undo" it *Isolate the variable do opposite operations to "clean off" the side with the variable (get variable by itself) ex x 3 = 12 +3 +3 x = 15 variable by itself *When solving equations do order of operations in reverse SADMEG When solving equations the purpose is to isolate the variable by doing inverse operations using the order of operations in reverse while keeping your equations balanced 44 Unit 3 Student Reflection Find the question you did worst on... >What question do you have about this problem? >What have you done to get an answer to your question? >Do you still misunderstand the question? Choose one problem/question you made a small error on... >What have you done to help yourself not to make the same error again? Set a goal for the test. The goal must include your desired scores and your action statement for reaching your goal.

45 Solving Multi Step Equations Questions What is the difference between how you solve with variables on the same side and variables on different sides? Like terms on same side "Gather" Like terms together & simplify Variables on both sides "Balance idea" Add or subtract terms to each side to "move" them to other side When solving equations with more then one variable term, look for terms on the same side so you can gather or combine line terms. If variables are on opposite sides then we add or subtract the terms from both sides to eliminate the extra terms. 46 Write down everything you know/remember about graphing points. What is statistics? poll sports stat fact averages video game surgery good/bad? ratio recording data football scores Share your personal statistical connection. Write 3 to 4 sentences.

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51 52 Describe in your own words: Mean: MAD:

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55 56 Unit 4 Student Reflection Choose one problem/question from the review you feel the BEST about. What would be the advice you would share with another student who struggled with that problem? Choose one problem/question from the review you feel the worst about. What have you done to get your questions answered about it? Write an action statement about how you plan to study for the test tomorrow.

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61 Populations and Samples Population: entire srt of objects from which data is collected Sample: subset of population Population Characteristic: value calculated from a population Sample Statistic: value calculated from a sample Selecting a Sample Random: equally likely to be chosen A random sample is a sample where every possible sample of the same size has an equal chance of being chosen 62

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67 Transformations Foldable Vocabulary in Foldable: Translation slides every point of a figure the same distance in the same direction. Reflection produces a mirror image across a line of reflection. Rotation turns a figure around a point (also called a turn). Dilation changes the size of the figure but not shape (enlarge or shrink) 68 Give three pieces of information you know about each of the following: Translation Reflection Rotation Dilation

69 Transformations Translations 1. Preserves length 2. Preserves degrees of angles 3. line maps to a line ray maps to a ray angle maps to an angle segment maps to a segment Rotations Basic Rigid Motions 1. Preserves length 2. Preserves degrees of angles 3. line maps to a line ray maps to a ray angle maps to an angle segment maps to a segment Reflections 1. Preserves length 2. Preserves degrees of angles 3. line maps to a line ray maps to a ray angle maps to an angle segment maps to a segment Dilations has center O and scale factor r (r>0) 0<r<1: shrink r>1: enlarge 2 rules NOT a basic rigid motion 1. center of dilation does not move 2. OP' =r OP (O=P) 70 Unit 6 Student Reflection 1. What have we learned about in Unit 6? 2. What score do you think you will receive on both of the learning targets on tomorrow's test? 3. What resources are available to you to get to the next grade level? 4. Write an action statement for how you will prepare for tomorrow's test.

Teacher Website Blackboard 3 things you learned from this page Current INB teacher contact information links to online book & blackboard 3 things you learned from this page can watch videos about things learned in class when absent can get caught up can pause videos and watch again Engage NY Office 365 www.365login.com/ 3 things you learned from this page Student Login Info: can see lessons at Enage NY website Username: last name last four digits of ID @sps81.org when absent can get caught up example: mccormick1234@sps81.org can print pages of problems sets when absent Password (birthdate): mmddyyyy 0