Review of Basic Fraction Concepts

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Review of Basic Fraction Concepts"

Transcription

1 Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. epresentations etoolkit lgorithms Practice EM Facts Workshop Game Family Letters ssessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Identify fractions as equal parts of a whole or the ONE and solve problems involving fractional parts of regions. [Number and Numeration Goal ] Identify equivalent fractions and mixed numbers. [Number and Numeration Goal ] Identify a triangle,, trapezoid, and rhombus. [Geometry Goal ] Find fractions and mixed numbers on number lines. [Patterns, Functions, and lgebra Goal ] Key ctivities Students review the meaning and uses of fractions. They draw various pattern-block shapes and color a fractional part of each shape. Ongoing ssessment: Recognizing Student chievement Use journal page. [Number and Numeration Goal ] Key Vocabulary whole (or ONE or unit) mixed number denominator numerator whole box Playing Product Pile-Up Student Reference ook, p. 9 per group: each of number cards (from Everything Math Decks, if available) Students maintain automaticity with multiplication facts. Math oxes 7 Math Journal, p. Students practice and maintain skills through Math ox problems. Study Link 7 Math Masters, p. Students practice and maintain skills through Study Link activities. REDINESS Creating a Number-Line Model for Fractions Math Masters, pp. and scissors tape Students locate fractions on a number line. ENRICHMENT Constructing an Equilateral Triangle Math Masters, p. compass straightedge scissors crayons or colored pencils tape Students construct an equilateral triangle using a compass and straightedge. ENRICHMENT Naming Fractional Parts of a Region Geometry Template or pattern blocks crayons or colored pencils Students make designs with pattern blocks and label each block as a fraction of the design. ELL SUPPORT uilding a Math Word ank Differentiation Handbook, p. Students add the terms numerator and denominator to their Math Word anks. Materials Math Journal, pp. 7 Student Reference ook, p. pattern blocks (optional) straightedge calculator slate dvance Preparation Teacher s Reference Manual, Grades pp. 7,, 7 Unit 7 Fractions and Their Uses; Chance and Probability

2 Getting Started Mental Math and Reflexes Have students name the next three multiples in a sequence. Suggestions:,,,...,,,,,...,,,,,...,,,,,... 7,, 9,,,...,, 7, 9,,...,,,,,...,,,,,...,, 9,, 7,...,, Math Message List three ways that fractions are used outside of your math class. Teaching the Lesson Math Message Follow-Up (Student Reference ook, p. ) SMLL-GROUP Interactive whiteboard-ready epresentations are available at to help you teach the lesson. sk students to share their examples. Then have students read Student Reference ook, page to find other uses of fractions. Tell students that in this lesson they will review fractions as parts of wholes, measures, and counts. Links to the Future The use of fractions in rate and ratio comparisons is addressed in Unit of Fourth Grade Everyday Mathematics. Reviewing Fraction Ideas and Notation WHOLE-CLSS Write several fractions on the board, and remind students of the following: fraction is always a fraction of something for example, _ of an orange or _ of a mile. This something is called the whole, or ONE; for measures and counts, it is the unit. The parts into which the whole is divided must be the same size they must be fair shares. The common fraction notation is a_, but fractions can also be b written with a slash: a/b. Numbers such as _ and _ are called mixed numbers. The number below the fraction bar is called the denominator. It names the number of equal parts into which the whole is divided. ELL Here are some other examples of uses of fractions: Study the recipe shown at the right. Many of the amounts listed in the recipe include fractions. movie critic gave the film Finding Nemo a rating of stars (on a scale of to stars). This spinner has of the circle colored red, colored blue, and colored green. If we spin the spinner many times, it will land on red about of the time. It will land on blue about of the time. nd it will land on green about of the time. The probability that the spinner will land on a color that is not green is 7. If a map includes a scale, you can use the scale to estimate real-world distances. The scale on the map shown here is given as :,. This means that every distance on the map is, of the real-world distance. centimeter distance on the map stands for a realworld distance of, centimeters ( meters). Fractions are often used to describe clothing sizes. For example, women s shoes come in sizes,,,, and so on, up to. Part of a size chart for women s shoes is shown at the right. It gives the recommended shoe size for women whose feet are between 9 and inches long. Student Reference ook, p. Fractions Size Chart for Women s Shoes Heel-to-toe length (in.) Size to 9 9 to 9 9 to to to 9 9 to 9 9 to 9 Lesson 7 7

3 Date Divide each shape into equal parts. Color a fraction of the parts. Write the name of the whole in the whole box Fraction Review Divide the into equal parts. Color _ of the. rhombus Divide the rhombus into equal parts. Color _ of the rhombus. trapezoid Divide the trapezoid into equal parts. Color _ of the trapezoid. Divide the into equal parts. Color _ of the. Math Journal, p. -_EMCS_S_MJ_G_U7_7.indd Sample answers: /7/ : M The number above the fraction bar is called the numerator. It names the number of parts under consideration. For example, if Sue ate _ of a pizza, the pizza is the whole. The fraction _ tells us that the pizza was divided into three equal parts, and Sue ate two of them. To support English language learners, label the numerator and denominator of each fraction written on the board. Identifying Fractional Parts of Pattern-lock Shapes (Math Journal, pp. and ) Students use a straightedge to divide each shape on journal pages and into a specified number of equal parts and color a fraction of the shape. PRTNER Do Problem with the class. Remind students that the whole (or ONE) is the. Call students attention to the whole box, which is used to write the name of the whole. s they work on Problems 7, students record the name of each item in the whole box. Have students complete Problem independently. Date. 7 djusting the ctivity Fraction Review continued ELL Encourage students to model the problems with pattern blocks. UDITORY KINESTHETIC TCTILE VISUL NOTE You might ask students to identify a fraction that could describe the colored parts of the shapes in Problem on journal page. _ Repeat this procedure for Problem 7. _ The term improper fraction is sometimes used to describe a fraction with a numerator that is greater than or equal to its denominator. When students have finished, explain that it is sometimes useful to write fractions and mixed numbers as sums. This is called decomposing a fraction or mixed number. For example, _ can be decomposed into the sum _ + _ or the sum _ + _. sk students to decompose each fraction or mixed number in Problems,, and 7 into a sum of fractions. Sample answers: Problem : _ + _ + _ + _ + _ = _ ; Problem : _ + _ = _ ; Problem 7: _ + _ + _ = _ to decompose. Pose additional fractions for students. 7. Divide the into equal parts. Color _ of the. Divide each into thirds. Color _ s. rhombus Divide each rhombus into equal parts. Color _ rhombuses. Ongoing ssessment: Recognizing Student chievement Journal page Problem Use journal page, Problem to assess students understanding of fractions as equal parts of a whole. Students are making adequate progress if their responses note that Grace did not divide the into equal parts. Some students responses may include correct ways to shade _ of the. [Number and Numeration Goal ]. Grace was asked to color _ of a. This is what she did. What is wrong? Sample answer: She did not divide the into equal parts. Math Journal, p. -_EMCS_S_MJ_G_U7_7.indd /7/ : M 7 Unit 7 Fractions and Their Uses; Chance and Probability

4 Identifying Fractional Parts of Number Lines (Math Journal, p. 7) PRTNER PROLEM SOLVING In Problems 9 on journal page 7, students write fractions and mixed numbers for points on number lines. Number-line problems reinforce the concept that fractions and decimals can be used to name numbers between whole numbers. Date 7 Fraction Review continued Fill in the missing fractions and mixed numbers on the number lines Entering Fractions and Mixed Numbers on a Calculator (Math Journal, p. 7) WHOLE-CLSS Lead students through the appropriate steps to enter fractions and mixed numbers on their calculators. To enter _ : On a TI-, press n d. On a Casio fx-, press. To enter 7_ : On a TI-, press Unit 7 n d. On a Casio fx-, press 7. Have students practice using their calculators to enter the fractions and mixed numbers on journal page 7... Try This. Enter the fractions above on your calculator. Record the keystrokes you used to enter and. Sample answer: On my TI-, I pressed n d for. To enter, I pressed Unit n d. On my Casio fx-, I pressed for and for. Math Journal, p. 7 djusting the ctivity ELL Have students refer to their Fraction Number- Line Poster. See the optional Readiness activity in Part. UDITORY KINESTHETIC TCTILE VISUL Ongoing Learning & Practice Date Playing Product Pile-Up (Student Reference ook, p. 9) SMLL-GROUP 7 Math oxes obtuse. What fraction of the clock face is shaded?. POL is an (acute or, or obtuse) angle. P Students play Product Pile-Up to maintain automaticity with multiplication facts. See Lesson - for additonal information. O The measure of POL is. L 9 Math oxes 7 (Math Journal, p. ) Mixed Practice Math oxes in this lesson are paired with Math oxes in Lesson 7-. The skill in Problem previews Unit content. Writing/Reasoning Have students write a response to the following: How did you determine whether the angle in Problem was obtuse or acute? Sample answer: The measure of angle POL is greater than 9 degrees, so it is obtuse.. Multiply. Use a paper-and-pencil algorithm., a. What city in Region is located near N latitude and E longitude? Cairo b. In which country is the city located? Egypt c. On which continent is the city located? frica Math Journal, p.. The five largest birds that are able to fly have the following weights:.,.,.9,., and. kilograms. a. What is the median weight? kg b. What is the mode? kg c. What is the range? kg d. What is the mean? kg 7 7. a. Measure and record the length of each side of the rectangle. in. in in. b. What is the total distance around the rectangle called? Circle one. perimeter area in. Lesson 7 7

5 Study Link Master Name Date STUDY LINK 7 Fractions. Divide the circle into equal parts. Color of the circle. Study Link 7 (Math Masters, p. ) Rule circle. Divide the rectangle into equal parts. Shade of the rectangle. Home Connection Students identify fractional parts of shapes and number lines. Rule rectangle. Divide each square into fourths. Color of the squares. Rule square Differentiation Options Fill in the missing fractions and mixed numbers on the number lines Practice,,. 7 7.,9,.,9 9.,97,97,7 7,97 Math Masters, p. REDINESS Creating a Number-Line Model for Fractions (Math Masters, pp. and ) SMLL-GROUP Min To provide experience locating fractions on a number line, have students create a Fraction Number-Line Poster. Students cut out the fraction strips on Math Masters, page. The top strip shows a number line from to. It represents the whole, or the ONE. Have students tape it exactly over the strip on Math Masters, page. sk students to fold the Halves strip in half, make a mark where the crease meets the number line, and label it _. Have students tape it to the strip on Math Masters, page. Halves Name Date 7 Fraction Strips Cut along the dashed lines. Teaching Master Halves Fourths Eighths Number-line model for halves sk students to fold, label, and tape the remaining strips. Have them choose how to fold and label the last strip. For each strip, have students begin with their finger on the and count each fractional part until they count to one. This way, they count the number of intervals, not the number of marks. Discuss how the number-line model is different from the region and set models for fractions. sk: Can you think of places in the everyday world where fraction number lines are found? Sample answers: Rulers and measuring cups Thirds 7 NOTE The Fraction Number-Line Poster is also used in the Readiness activity in Lesson 7-7. Sixths Math Masters, p. 7 Unit 7 Fractions and Their Uses; Chance and Probability

6 ENRICHMENT Constructing an Equilateral Triangle (Math Masters, p. ) Min 7 Teaching Master Name Date Fraction Number-Line Poster Halves To apply students understanding of fractions as equal parts of a whole, have them construct an equilateral triangle using a compass and straightedge. They cut out the triangle and divide it into six equal parts. Possible strategy: Put two vertices together, and fold the triangle in half. Unfold it. Repeat the process twice, using a different pair of vertices each time. Fourths Eighths Thirds Sixths ENRICHMENT Naming Fractional Parts of a Region Min Math Masters, p. rt Link To apply students understanding of the whole, have them use pattern blocks (, trapezoid, wide rhombus, and triangle) or the Geometry Template to draw and color a design (whole). sk students to write the fraction of the design each shape represents. Students should compare their designs and note that the amount represented by a fraction depends on the whole, or the ONE. For example: Teaching Master Name Date 7 Constructing an Equilateral Triangle n equilateral triangle is a triangle in which all sides are the same length. Here is one way to construct an equilateral triangle using a compass and straightedge. Step : Draw line segment. ELL SUPPORT uilding a Math Word ank (Differentiation Handbook, p. ) SMLL-GROUP Min Step : Place the anchor of the compass on and the pencil on. Without changing the compass opening, make an arc above the line segment. Step : Place the anchor on. Keeping the same compass opening, make a second arc that crosses the first arc. Label the point where the two arcs cross as C. C To provide language support for fractions, have students use the Word ank Template found on Differentiation Handbook, page. sk students to write the terms numerator and denominator, draw pictures relating to each term, and write other related words. See the Differentiation Handbook for more information. Step : Draw line segments C and C. C Use your compass and straightedge to construct a very large equilateral triangle on a separate sheet of paper. Cut out your triangle. Divide it into equal parts. Color of it. Tape your triangle on the back of this sheet. Math Masters, p. Lesson 7 7

Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.

Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle. Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop

More information

Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

More information

The Half-Circle Protractor

The Half-Circle Protractor The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw

More information

Pattern-Block Fractions

Pattern-Block Fractions Pattern-lock Fractions Objective To guide students as they find fractional parts of polygonal regions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

Family Letters. Assessment Management. Playing Fraction Of

Family Letters. Assessment Management. Playing Fraction Of Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com

More information

Comparing and Ordering Fractions

Comparing and Ordering Fractions Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

More information

Subtracting Mixed Numbers

Subtracting Mixed Numbers Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

More information

Review: Addition and Subtraction of Positive and Negative Numbers

Review: Addition and Subtraction of Positive and Negative Numbers Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Comparing Fractions Objective To provide practice ordering sets of fractions.

Comparing Fractions Objective To provide practice ordering sets of fractions. Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

More information

The Mean and the Median

The Mean and the Median The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

More information

Calculator Practice: Computation with Fractions

Calculator Practice: Computation with Fractions Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations

More information

Measuring with a Ruler

Measuring with a Ruler Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

More information

Fractions and Decimals

Fractions and Decimals Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

More information

Assessment Management

Assessment Management Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com

More information

Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management

Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

Exploring Length, Area, and Attributes

Exploring Length, Area, and Attributes Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute

More information

1 Teaching the Lesson

1 Teaching the Lesson Getting Started Mental Math and Reflexes Children solve division number stories. They write answers on slates and explain their strategies to the class. Provide counters. There are children in the class.

More information

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

More information

Volume of Pyramids and Cones

Volume of Pyramids and Cones Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Place Value in Whole Numbers

Place Value in Whole Numbers Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com

More information

Multiplying Fractions by Whole Numbers

Multiplying Fractions by Whole Numbers Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit

More information

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

More information

Properties of Polygons Objective To explore the geometric properties of polygons.

Properties of Polygons Objective To explore the geometric properties of polygons. Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

Measuring with Yards and Meters

Measuring with Yards and Meters Measuring with Yards and Meters Objectives To provide review for the concept of nonstandard units of measure; and to introduce yard and meter. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Addition of Multidigit Numbers

Addition of Multidigit Numbers Addition of Multidigit Numbers Objectives To review the partial-sums algorithm used to solve multidigit addition problems; and to introduce a column-addition method similar to the traditional addition

More information

Assessment Management

Assessment Management Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Objective To introduce a formula to calculate the area. Family Letters. Assessment Management Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

A Coin-Toss Experiment

A Coin-Toss Experiment A Coin-Toss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

The Distributive Property

The Distributive Property The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

More information

Multiplication Facts Survey

Multiplication Facts Survey Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

More information

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

More information

Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management Unsquaring Numbers Objective To introduce the concept of square roots and the use of the square-root key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

More information

Middle Value (Median) of a Set of Data

Middle Value (Median) of a Set of Data Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of

More information

Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

Multiplication Facts Practice

Multiplication Facts Practice Multiplication Facts Practice Objectives To introduce the 5-facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

More information

Multiplication Arrays

Multiplication Arrays Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

More information

Subtraction of Multidigit Numbers

Subtraction of Multidigit Numbers Subtraction of Multidigit Numbers Objectives To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multidigit subtraction problems; and to provide

More information

Multiplication Fact Power and Shortcuts

Multiplication Fact Power and Shortcuts Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Number Models for Area

Number Models for Area Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.

More information

Constructing Geometric Solids

Constructing Geometric Solids Constructing Geometric Solids www.everydaymathonline.com Objectives To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons. epresentations

More information

The Partial-Quotients Division Algorithm, Part 1

The Partial-Quotients Division Algorithm, Part 1 The Partial-Quotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a low-stress division algorithm for 1-digit divisors. www.everydaymathonline.com epresentations etoolkit

More information

Multiplication and Division Fact Families

Multiplication and Division Fact Families Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com

More information

Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

More information

Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1

Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1 Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent real-world situations with inequalities. www.everydaymathonline.com epresentations

More information

Reading and Writing Large Numbers

Reading and Writing Large Numbers Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and number-and-word notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

Sunrise-Sunset Line Graphs

Sunrise-Sunset Line Graphs Sunrise-Sunset Line Graphs Objectives To guide children as they analyze data from the sunrise-sunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations

More information

Baseball Multiplication Objective To practice multiplication facts.

Baseball Multiplication Objective To practice multiplication facts. Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common

More information

Subtraction Strategies

Subtraction Strategies Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

The Length-of-Day Project

The Length-of-Day Project The Length-of-Day Project Objectives To review telling time and finding elapsed time; and to introduce the Length-of-Day project. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

Family Letters. Assessment Management. Playing Target: 50

Family Letters. Assessment Management. Playing Target: 50 The Partial-Sums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. www.everydaymathonline.com

More information

The Addition/Subtraction Facts Table

The Addition/Subtraction Facts Table The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations

More information

The Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data.

The Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. The Median Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

Place Value Chart. Number Sense 345,562 > 342,500 24,545 < 38, ,312=212,312

Place Value Chart. Number Sense 345,562 > 342,500 24,545 < 38, ,312=212,312 INDIANA ACADEMIC STANDARDS Number Sense 4.NS.1 Read and write whole numbers up to 1,000,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers

More information

Surface Area. Assessment Management

Surface Area. Assessment Management Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

More information

Points and Line Segments

Points and Line Segments Points and Line Segments Objective To guide children as they define, name, and draw line segments. www.everydaymathonline.com epresentations etoolkit lgorithms Practice M acts Workshop Game amily Letters

More information

Subtraction from Addition

Subtraction from Addition Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit

More information

Addition Number Stories

Addition Number Stories Addition Number Stories Objective To guide children as they make up, represent, and solve addition number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

More information

Exponential Notation for Powers of 10

Exponential Notation for Powers of 10 Expntial Notation for Objective To introduce number-and-word notation for large numbers and expntial notation for powers of 10. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

More information

Objective To review the partial-quotients division algorithm with whole numbers.

Objective To review the partial-quotients division algorithm with whole numbers. Objective To review the partial-quotients division algorithm with whole numbers. 1 Teaching the Lesson materials Key Activities Students review and practice the use of a friendly number paper-and-pencil

More information

Reading and Writing Small Numbers

Reading and Writing Small Numbers Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

Math Message and Number Sequences

Math Message and Number Sequences Math Message and Number Sequences Objectives To introduce the Math Message routine; and to review number sequences and number lines. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

Solving Simple Equations Objective To use trial and error and a cover-up method to

Solving Simple Equations Objective To use trial and error and a cover-up method to Solving Simple Equations Objective To use trial and error and a cover-up method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

Parentheses in Number Sentences

Parentheses in Number Sentences Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

More information

Multiplication of Mixed Numbers

Multiplication of Mixed Numbers Multiplication of Mixed Numbers Objective To introduce multiplication with mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive and Negative Numbers Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

More information

Line Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management

Line Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management Line Plots Objective To provide experience creating and interpreting line plots with fractional units. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

More information

Multiplying Fractions by a Whole Number

Multiplying Fractions by a Whole Number Grade 4 Mathematics, Quarter 3, Unit 3.1 Multiplying Fractions by a Whole Number Overview Number of Instructional Days: 15 (1 day = 45 60 minutes) Content to be Learned Apply understanding of operations

More information

Vocabulary Cards and Word Walls Revised: June 29, 2011

Vocabulary Cards and Word Walls Revised: June 29, 2011 Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,

More information

Capacity. Assessment Management

Capacity. Assessment Management Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

More information

Assessment Management

Assessment Management Facts Using Doubles Objective To provide opportunities for children to explore and practice doubles-plus-1 and doubles-plus-2 facts, as well as review strategies for solving other addition facts. www.everydaymathonline.com

More information

Addition and Subtraction of Decimals Objective To add, subtract, and round decimals.

Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories.

Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories. Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

More information

Buying at the Stock-Up Sale

Buying at the Stock-Up Sale Buying at the Stock-Up Sale Objective To guide children as they multiply using mental math and the partial-products algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

More information

Addition with Three or More Addends

Addition with Three or More Addends ddition with hree or More ddends Objective o guide children as they solve number stories having three or more addends. www.everydaymathonline.com epresentations eoolkit lgorithms Practice EM Facts Workshop

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 5 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions,

More information

Box Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters

Box Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

More information

Objective To introduce and practice the partial-sums addition algorithm.

Objective To introduce and practice the partial-sums addition algorithm. Objective To introduce and practice the partial-sums addition algorithm. 1 Teaching the Lesson Key Activities Children are introduced to the partial-sums algorithm using base-1 blocks and paper-and-pencil

More information

Math Common Core Standards Fourth Grade

Math Common Core Standards Fourth Grade Operations and Algebraic Thinking (OA) Use the four operations with whole numbers to solve problems. OA.4.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement

More information

The Lattice Method of Multiplication

The Lattice Method of Multiplication The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit

More information

CARMEL CLAY SCHOOLS MATHEMATICS CURRICULUM

CARMEL CLAY SCHOOLS MATHEMATICS CURRICULUM GRADE 4 Standard 1 Number Sense Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers 1 and decimals relate to simple fractions. 4.1.1 Read and write

More information

Fractions and Decimals: Part 2

Fractions and Decimals: Part 2 Fractions and Decimals: Part Objective To provide experience with several graphic models for renaming fractions as decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice M Facts

More information

Multiplication Facts

Multiplication Facts Multiplication Facts Division Facts Toothpick Triangles What you will need: 1 box of toothpicks Paper Pencil 1. First, create a toothpick triangle using 3 toothpicks. 2. In the chart, under Number of Toothpicks,

More information

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17 NS6-0 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE

More information

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1 Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

More information

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

More information

Line Segments, Rays, and Lines

Line Segments, Rays, and Lines HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw

More information

Everyday Mathematics GOALS

Everyday Mathematics GOALS Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

More information

1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B. Whole Numbers

1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B. Whole Numbers Whole Numbers Scope and Sequence for Primary Mathematics, U.S. Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced or specifically addressed. Understand

More information

Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. materials. materials.

Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. materials. materials. Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. Teaching the Lesson materials Key Activities Children make ballpark estimates for -digit

More information

Frames and Arrows Having Two Rules

Frames and Arrows Having Two Rules Frames and Arrows Having Two s Objective To guide children as they solve Frames-and-Arrows problems having two rules. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

More information

materials materials materials Technology Teaching the Lesson Ongoing Learning & Practice Differentiation Options

materials materials materials Technology Teaching the Lesson Ongoing Learning & Practice Differentiation Options Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. Teaching the Lesson Key Activities Children

More information

Year 5 Mathematics Programme of Study Maths worksheets from mathsphere.co.uk MATHEMATICS. Programme of Study. Year 5 Number and Place Value

Year 5 Mathematics Programme of Study Maths worksheets from mathsphere.co.uk MATHEMATICS. Programme of Study. Year 5 Number and Place Value MATHEMATICS Programme of Study Year 5 Number and Place Value Here are the statutory requirements: Number and place value read, write, order and compare numbers to at least 1 000 000 and determine the value

More information

Third Grade Illustrated Math Dictionary Updated 9-13-10 As presented by the Math Committee of the Northwest Montana Educational Cooperative

Third Grade Illustrated Math Dictionary Updated 9-13-10 As presented by the Math Committee of the Northwest Montana Educational Cooperative Acute An angle less than 90 degrees An acute angle is between 1 and 89 degrees Analog Clock Clock with a face and hands This clock shows ten after ten Angle A figure formed by two line segments that end

More information

Fourth Grade Common Core State Standard (CCSS) Math Scope and Sequence

Fourth Grade Common Core State Standard (CCSS) Math Scope and Sequence I= Introduced R=Reinforced/Reviewed Fourth Grade Math Standards 1 2 3 4 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.0A.1 - Interpret a multiplication

More information

Progress Check 9. Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment

Progress Check 9. Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment Input children s data from into the Assessment Management Spreadsheets. Materials

More information

Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

More information

Bedford Public Schools

Bedford Public Schools Bedford Public Schools Grade 4 Math The fourth grade curriculum builds on and extends the concepts of number and operations, measurement, data and geometry begun in earlier grades. In the area of number

More information

California Common Core State Standards Comparison- FOURTH GRADE

California Common Core State Standards Comparison- FOURTH GRADE 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics. Standards

More information

4th Grade Math Vocabulary Resources

4th Grade Math Vocabulary Resources 4th Grade Math Vocabulary Resources 4th Grade Math Vocabulary Resources contains two resources to promote student independence, develop math vocabulary, and support reading and writing in mathematics.

More information