About Finish Line New Jersey Math 5

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1 Table of COntents About Finish Line New Jerse Math Unit : Big Ideas from Grade Lesson.NBT., Multipling and Dividing Whole Numbers [connects to.nbt., ] Lesson.NF., Understanding Decimals [connects to.nbt..a, b] Lesson.NF..a, c, d Adding and Subtracting Fractions [connects to.nf.,, ] Lesson.MD. Finding Equivalent Measurements [connects to.md.] Unit Review Unit : Number and Operations in Base Ten Lesson.NBT. Whole-Number Place Value Lesson.NBT. Powers of Ten Lesson.NBT.,.a Decimal Names and Place Value Lesson.NBT..b Comparing Decimals Lesson 9.NBT. Rounding Decimals Lesson.NBT. Multipling Whole Numbers Lesson.NBT. Dividing Whole Numbers Lesson.NBT. Adding and Subtracting Decimals 9 Lesson.NBT. Multipling Decimals 99 Lesson.NBT. Dividing Decimals Unit Review Unit : Operations and Algebraic Thinking Lesson.OA., Understanding and Writing Epressions Lesson.OA. Evaluating Epressions Lesson.OA. Patterns and Relationships Unit Review

2 Unit : Number and Operations Fractions 9 Lesson.NF. Adding and Subtracting Fractions with Unlike Denominators Lesson 9.NF. Word Problems with Addition and Subtraction of Fractions Lesson.NF. Connecting Fractions and Division Lesson.NF..a, b Multipling Whole Numbers and Fractions Lesson.NF..a, b Multipling Fractions Lesson.NF..a, b Multiplication and Scale Lesson.NF. Word Problems with Multiplication of Fractions 9 Lesson.NF..a, b Dividing with Unit Fractions 99 Lesson.NF..c Word Problems with Division and Fractions Unit Review Unit : Measurement and Data Lesson.MD. Measurement Conversions 9 Lesson.MD. Measurement Data on Line Plots Lesson 9.MD..a, b; Understanding Volume Lesson.MD..a, b Volume of Rectangular Prisms Lesson.MD..c Volume of Irregular Figures Unit Review Unit : Geometr Lesson.G. Using the Coordinate Plane Lesson.G. Solving Problems with the Coordinate Plane Lesson.G. Properties of Two-Dimensional Figures Lesson.G. Classifing Two-Dimensional Figures 9 Unit Review Glossar Flash Cards

3 LessoN Using the Coordinate Plane CCSS:.G. PART Introduction A coordinate plane is made of two number lines, or aes. One is horizontal and is called the -ais. The other is vertical and is called the -ais. The number lines intersect at the origin, or (, ). -ais origin A -ais B Vertical means up and down. Horizontal means across. Each point is described b an ordered pair. The coordinates in the ordered pair identif the location of the point on the coordinate plane. The -coordinate is the first number. It tells the distance from, moving right. The -coordinate is the second number. It tells the distance from, moving up. Look at point A on the coordinate plane above. Its ordered pair is (, ). Move units right from. Then move units up. Look at point B. Its ordered pair is (, ). Move units right from. Then move units up. Ordered pairs are alwas in the same order. (, ) Use an ordered pair to plot a point on a coordinate plane. Plot a point at (, ) on the coordinate plane. Look at the ordered pair (, ). The -coordinate is, so move units to the right along the -ais. The -coordinate is, so move units up. The -coordinate moves right. The -coordinate moves up. UNIT Geometr

4 Think About It Are the points at (, ) and (, ) at the same place on a coordinate plane? Eplain how ou know. PART Focused Instruction Sometimes ordered pairs are given in a table. The number in the -column is the -coordinate. The number beside it in the -column is the -coordinate. It ma help ou to rewrite them as an ordered pair. Peter graphs the points shown in the table on a coordinate plane. Write the data from the table as a set of ordered pairs. In the first ordered pair, how far along the -ais should Peter move for the -coordinate? Does the -coordinate tell ou to move up or to the right? In the first ordered pair, how far along the -ais should Peter move for the -coordinate? Plot the point for (, ) on the coordinate plane below. Label it A. UNIT Geometr

5 Focused Instruction Look at point A. What do ou think will alwas be true if the -coordinate is? Lesson Eplain how to graph the net two ordered pairs. Label them B and C. Graph the ordered pairs on the coordinate plane on page. Connect the points. What kind of line do the points make? Points on a coordinate plane can be connected to form lines and shapes. The coordinate plane shows a square with points A, B, C, and D. What is the location of each point on the coordinate plane? A B D C When graphing a point, in which direction do ou move first? Ordered pairs: (, ) Which ais do ou move along first when writing an ordered pair for a point? UNIT Geometr

6 Focused Instruction From, how man units to the right should ou move to get to point A? From the -ais, how man units up should ou move to get to point A? What is the ordered pair that describes the location of point A? What is the ordered pair that describes the location of point B? What is the ordered pair that describes the location of point C? What is the ordered pair that describes the location of point D? Lesson Use what ou know about coordinate planes to find the ordered pairs that describes the points on the coordinate plane. 9 R Q S 9 Q R S UNIT Geometr 9

7 Guided Practice Lesson Solve the following problems. Which point is located at (9, )? 9 E F 9 H G Coordinate pairs are in the order of (, ). Answer Describe how to graph a point at (, ) on a coordinate plane. Which wa do ou move for the first number in an ordered pair? On the coordinate plane below, draw a line segment with an endpoint M at (, ) and an endpoint N at (, ). Label each of the endpoints. A line segment is part of a line with two endpoints. It is straight. UNIT Geometr

8 Independent Practice Lesson Solve the following problems. What is the location of the top point of the star? 9 9 Answer Use the coordinate plane to draw a line that passes through point W at (, ) and point X at (, ). Label each point. 9 9 UNIT Geometr

9 Independent Practice Lesson Use the coordinate plane below to answer problems. 9 a c b 9 What ordered pair describes the location at which lines a and b meet? Answer Select an option in the set to make the following statement true. For all the points on line a, the [ -coordinate, -coordinate ] is alwas. Eplain how one line can be moved so that all three lines will meet at the same point. UNIT Geometr

10 Independent Practice The list below shows the ordered pairs for some points. A (, ) B (, ) C (, ) D (, ) E (, ) Part A Graph the points from the list on the coordinate plane below. Lesson Part B A triangle is formed on the coordinate plane above. Its vertices are at (, ), (, ), and (, ). Which of the points that ou graphed in Part A do not lie on one of the sides of this triangle? Eplain our reasoning. UNIT Geometr