Working with Shapes - 5.G.4 Complete lesson in which students review basic geometry terms related to triangles, model them on the geoboard, and classify them in a hierarchy based on properties. An instructional plan, materials to print, assessments, extensions, and questions/reflections are included.
What Fraction of the Section Does Each Person Own? - NF1 NF2 What fraction of the section of land does each person own? Students use an area model of farmland to determine how much land each person owns.
What's the Point? (FunBrain) - 5.G.1, 5.G.2 Interactive provides multiple choice practice with 20 items for identifying the coordinates of a graphed point. Feedback in the form of an explanation is given if the student selects an incorrect option. A harder difficulty level is available which plots points in any of the four quadrants.
Virtual Manipulatives (Glencoe) - All standards - Site provides a suite of manipulatives that can be used on the whiteboard or projected from a computer. Manipulatives include algebra tiles, attribute blocks, attribute buttons, base ten blocks, bears in a boat, bucket balance, calendar, centimeter cubes, clock, color tiles, connecting cubes, currency, fraction circles, fraction tiles, game pieces, geoboard/bands, geometric solids, hundred chart, number cubes, number line, pattern blocks, spinner, tangrams, thermometer (simple and one with more calibrations), and two-color counters.
Utah Education Network: Texting Trouble - 5.OA.3 Students apply their understanding of patterns and rules, ordered pairs, and coordinate graphing to solve real-world problems related to the cost of text messaging. Lesson plan includes strategies for diverse learners and lesson extensions.
Utah Education Network: iPod in the Mail - 5.NBT.7 Students apply their understanding of computation of decimal numbers to the hundredths place to solve a real-world problem as they demonstrate strategies for solving problems. Lesson plan includes extension suggestions and strategies for diverse learners.
Utah Education Network: How Fast Do They Run? - 5.NBT.3 Students apply their understanding of decimal number place value to ordering, comparing, and calculating speeds and distances animals travel. Strategies for diverse learners and lesson extensions are provided in this lesson plan.
Using Coordinate Grids - In this video segment from Cyberchase, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map
Triangle Sort - 5.G.3 (Scroll down the landing page to find this activity.) A short video explains characteristics of types of triangles. Students then sort a set of triangles based on these characteristics into a Venn diagram.
Triangle Song - 5.G.3 The Triangle Song video teaches some basics about equilateral, isosceles, scalene, and right triangles.
Study Jams: Ordered Pairs - 5.G.1, 5.G.2 Students are presented with 7 problems requiring they identify the point given its coordinates or identify the coordinates for a graphed point. Feedback is provided to the student after all 7 items are completed.
Study Jams: Classify Quadrilaterals - 5.G.3, 5.G.4 Site provides a 7-question multiple-choice quiz on classifying quadrilaterals. Note that the definition of trapezoid used by the site is different from the definition in the GSE Mathematics Glossary K-12. Students can get feedback after finishing all 7 items.
Space Boy to the Rescue - 5.G.1, 5.G.2 Students are given the coordinates of a point, and they must move Space Boy to that location as they are being timed. The game includes all four quadrants, so it would not be appropriate for all learners. It could be used, however, as an extension to challenge students who have already mastered 5.G.1.
Simple Maze Game - 5.G.1, 5.G.2 This game allows students to practice their point plotting skills by having them move a robot through a minefield to a target location without the path crossing a mine.
Simple Coordinates Game - 5.G.1, 5.G.2 Game can be play in two different ways: (1) students type in the "address" and a house is drawn at the point with the entered coordinates, or (2) students type in the "address" for a house that is drawn at a random point on the coordinate plane. The coordinate plane is restricted to the first quadrant only.
Sheppards Software's Fruit Splat Fraction Addition - NF1 Students are given fractions with like and unlike denominators to add. They are also simplifying fractions.
Rectangles and Parallelograms - 5.G.3, 5.G.4 Complete lesson which allows students to examine the properties of rectangles and parallelograms to identify what distinguishes a rectangle from a more general parallelogram. An instructional plan, materials to print, assessments, extensions, and questions/reflections are included.
Quadrilaterals Overview - 5.G.3, 5.G.4 Videos, practice with identifying, properties, classifying, and categorizing are included in this set of lessons.
Polygon Sort - 5.G.3 Students sort polygons using a Carroll diagram. If a polygon is misplaced, it bounces out of the diagram back into the pile of unsorted pieces. Sorting activity requires students attend to what is a quadrilateral and what is not as well as which polygons are regular and which are not.
Pattern Block Lessons - 5.G.3 This resource contains three activities for fifth grade using pattern blocks to categorize two-dimensional figures.
Networks - 5.G.3, 5.G.4 Resource provides teacher background knowledge on the use of networks to show relationships.
NCPDIwikispaces: Operations and Algebraic Thinking Instructional and Formative Tasks - OA1 OA2 This site contains four for instructional and formative tasks each for OA1 and OA2. Each tasks contains a rubric to determine a student's proficiency.
Multiplying Fractions by Whole Numbers (Day 1) - NF4 Developing understanding of the multiplication of fractions and of division of fractions. (BetterLesson)
Maze Game - 5.G.1, 5.G.2 Students practice their point plotting skills in all four quadrants by having them move a robot through a minefield to a target location without the path crossing a mine. The game could be assigned to students who have already mastered 5.G.1 as an extension challenge.
Locate the Aliens - 5.G.1, 5.G.2 Students are given a time limit for finding as many aliens as possible by typing in the coordinates of their locations. Because the coordinate plane includes all four quadrants, this game would not be appropriate for all learners, but it could be used as an extension activity for students who have mastered plotting points in the first quadrant.
LearnZillion: Use the Standard Algorithm for Multiplication - 5.NBT.5 Video lesson provides direct instruction for using the standard algorithm for multi-digit multiplication. It can be assigned to students before class for a flipped classroom or presented in class as part of instruction.
K-6 Progression on Geometry - Geometry standards K-6: Development of concepts in geometry and the progression of the standards are discussed in this document. It gives teachers detailed explanation of their grade-level geometry standards and explains how the work at their grade fits in the vertical progression.
K-5 Progression on Number and Operations in Base Ten - NBT standards K-5: Development of place value concepts and the progression of the standards are discussed in this document. It gives teachers detailed explanation of their grade-level NBT standards and explains how the work at their grade fits in the vertical progression.
K-5 Progression on Measurement and Data (Measurement) - Measurement standards K-5: Development of concepts in measurement and the progression of the standards are discussed in this document. It gives teachers detailed explanation of their grade-level Measurement and Data standards focused on measurement and explains how the work at their grade fits in the vertical progression.
K-5 Progression on Measurement and Data (Data) - Measurement standards K-5: Development of concepts in data and the progression of the standards are discussed in this document. It gives teachers detailed explanation of their grade-level Measurement and Data standards focused on data and explains how the work at their grade fits in the vertical progression.
K-5 Math Teaching Resources: Target Number Dash - 5.OA.1 This game for 2 to 3 players requires a deck of numeral cards. Students use order of operations to create expressions using the first five cards dealt face-up in a row so that the value of the expression equals the target number, which is determined by the sixth card that is turned face up. Scoring and further directions are available on the webpage.
K-5 Math Teaching Resources: Rounding Decimals on a Number Line - 5.NBT.4 This activity requires 0-9 numeral cards and a counter to represent the decimal point. Students create decimal numbers using four cards with the counter placed between the second and third cards. Their task is to round the decimal to the nearest tenth using a number line.
K-5 Math Teaching Resources: Roll and Round - 5.NBT.4 Partners take turns rolling three number cubes marked 1-6. Students use the resulting numbers and a counter placed after the first digit to create a decimal. Their task is to round the decimal to the nearest tenth, justify their thinking, and cover the rounded decimal on their game board. Materials and instructions are provided on the printable.
K-5 Math Teaching Resources: Place Value Concentration - 5.NBT.1 Partners play a concentration game by matching cards with 1/10, 1/100, and 1/100 of a number to its value as well as 10, 100, and 1000 times a number to its value. Printable cards and directions for playing are provided.
K-5 Math Teaching Resources: Patterns on the Coordinate Plane Task Cards - 5.OA.3 Students explore patterns on the coordinate plane by working through the ten task cards provided in this printable. The cards can be used for rotation stations or made into center activities.
K-5 Math Teaching Resources: Numerical Expressions Clock - 5.OA.1 Students use order of operations to create expressions with four 4s to rewrite the numbers 1-12. They then use these expressions to design a clock face.
K-5 Math Teaching Resources: Multiplying a Whole Number by a Power of 10 - 5.NBT.2 Students multiply whole numbers by powers of ten. They are asked to describe the pattern they observe in the number of zeros in the products.
K-5 Math Teaching Resources: Multiplying a Decimal by a Power of 10 - 5.NBT.2 Students multiply decimal numbers by powers of ten and use a calculator to check their work. They are asked to describe the pattern they observe in the placement of the decimal point in the products.
K-5 Math Teaching Resources: Multiplication Race - 5.NBT.5 Students work in partner groups playing this multiplication game designed to give students practice with the standard algorithm. Game board and instructions are provided on the printable. Partners use calculators to check each other's work.
K-5 Math Teaching Resources: Hunt for Decimals - 5.NBT.3 Working in groups of two, students cover five decimals on their game boards and then take turns reading decimals numbers correctly to guess the covered numbers on their opponent's game board. Game boards, instructions, and scoring are provided on the printable.
K-5 Math Teaching Resources: Estimate the Quotient - 5.NBT.6 Students work with a partner on this activity that requires numeral cards 0-9 to make a division problem with a three-digit dividend and a two-digit divisor. They estimate the quotient by using compatible numbers. This activity can be used in a center.
K-5 Math Teaching Resources: Equivalent Expressions Match - 5.OA.2 Partners play a "Concentration" game to match verbal expressions with numeric expressions. This printable contains the master for making copies of the cards.
K-5 Math Teaching Resources: Double and Halve - 5.NBT.7 Partners take turns creating a decimal times a whole number multiplication problem using two spinners. Students double one factor and halve the other to solve the problem mentally. Game board and instructions are provided on the printable.
K-5 Math Teaching Resources: Division Strategy – Partition the Dividend - 5.NBT.6 This printable contains a choice board, instructions, and illustrations to allow students to practice the division strategy of partitioning the dividend.
Investigating Fraction Relationships - Students investigating fraction relationships and equivalence utilizing Cuisenaire Rods. (NF.3)
Illustrative Mathematics: Watch Out for Parentheses 1 - OA1This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. It helps students see the purpose of using parentheses.
Illustrative Mathematics: Volume - MD5 The purpose of this task is for students to use the volume of a rectangular prism to understand the associative property of multiplication.
Illustrative Mathematics: The Value of an Education - 5.NBT.7 Students add, subtract, multiply, and divide decimal numbers in a real-world context in this task from Illustrative Mathematics. In addition, the task and the suggested extension can help students see that education beyond high school, whether technical training or college, pays off.
Illustrative Mathematics: Sidewalk Patterns - 5.OA.3 Students describe two number patterns in this task from Illustrative Mathematics. They can be challenged to describe the relationship that emerges between corresponding terms in the two patterns. Teacher commentary provides information on how SMP 8 is supported through this activity.
Illustrative Mathematics: Sharing Lunches NF.2 NF.3 NF.4 - This task requires students to think about how a single situation involving fractions can be accurately represented using addition or multiplication.
Illustrative Mathematics: Seeing Is Believing - 5.OA.2 Students create a visual of four times a sum in this task from Illustrative Mathematics. Commentary on the task provides the teacher with information on types of visual models and ways to extend the activity to a classroom discussion on the distributive property.
Illustrative Mathematics: Scaling Up and Down - NF5 This task is structured so that a teacher can diagnose the depth of a student’s understanding of what it means to multiply a number by a fraction, specifically in terms of scaling (as such it can be used formatively or summatively).
Illustrative Mathematics: Salad Dressing - NF2 and NF7cThe purpose of this task is to have students add fractions with unlike denominators and divide a unit fraction by a whole number. This accessible real-life context provides students with an opportunity to apply their understanding of addition as joining two separate quantities. Additionally, the context presents a "how many groups" division problem where a unit fraction should be divided into 6 equal groups.
Illustrative Mathematics: Rounding to Tenths and Hundredths - 5.NBT.4 Students use the position of a number on the number line to round the number without knowing its exact value in this task from Illustrative Mathematics. The task also requires students to understand or figure out that one tenth of 0.1 is 0.01. Teaching suggestions are provided.
Illustrative Mathematics: Kipton's Scale - This task from Illustrative Mathematics uses the context of weighing objects and bundles of 10, 100, and 1000 objects to help students visualize that bundling 10 units of a given place value will create 1 unit of the next highest place value.
Illustrative Mathematics: How much pie? - NF3 The purpose of this task is to help students see the connection between a÷b and a/b in a particular concrete example. The relationship between the division problem 3÷8 and the fraction 3/8 is actually very subtle.
Illustrative Mathematics:Fundraising - NF5 Can be used for instruction or as a formative assessment where students will use drawings to compare the fractional amount to determine who raise the most funds.
Illustrative Mathematics: Fractions on a Line Plot - The purpose of this task is for students to add unit fractions with unlike denominators and solve addition and subtraction problems involving fractions that have more than one possible solution (5.NF.1). The reason that students are asked to record their results on a line plot is that they need a way to systematically record their sums and to help them reason about the possible sums they can make with the cards. While this task does not ask students to record measurement data (as described in 5.MD.2), it is a good introductory activity for working with line plots with non-whole numbers.
Illustrative Mathematics: Folding Strips of Paper - NF.4The purpose of this task is to provide students with a concrete experience they can relate to fraction multiplication. Perhaps more importantly, the task also purposefully relates length and locations of points on a number line, a common trouble spot for students. This task is meant for instruction and would be a useful as part of an introductory unit on fraction multiplication.
Illustrative Mathematics: Elmer's Multiplication Error - 5.NBT.5 Students explore a common multiplication error when using the standard algorithm. This task from Illustrative Mathematics helps students catch these kinds of errors.
Illustrative Mathematics: Drawing Pictures to Illustrate Decimal Comparisons - 5.NBT.3 Students compare decimal numbers using pictures or diagrams in this task from Illustrative Mathematics. Students need to be familiar with using base-ten blocks or bundled objects to represent decimal numbers in multiple ways.
Illustrative Mathematics: Converting Fractions of a Unit into a Smaller Unit - NF3 and MD5 In each of the problems students are given a set of a specified size and a specified number of subsets into which it is to be divided. The questions ask the student to find out the size of each of the subsets. Students are not expected to know e.g. that there are 5280 feet in a mile.
Illustrative Mathematics: Comparing Products - 5.OA.2 Students compare two products without actually doing the computation and provide an explanation by drawing a picture. The purpose of this Illustrative Mathematics task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades.
Illustrative Mathematics: Comparing heights of buildings - NF5 and 6 The goal of this task is to compare three quantities using the notion of multiplication as scaling.
Illustrative Mathematics: Bowling for Numbers - 5.OA.1 Groups of 2 to 4 players roll four dice to get numbers with which to create expressions with values from 1 to 10 in order to "knock" down pins on the game board. The purpose of this game from Illustrative Mathematics is to help students think flexibly about numbers and operations and to record multiple operations using proper notation.
Illustrative Mathematics - Provides tasks that covers all mathematical standards K-12. Also, provides explanation of the Standards for Mathematical Practice along with access to Learning Progressions documents.
GSE Grade 5 Math Unit 7 - 5.G.1 - 5.G.3: Geometry and the Coordinate Plane
GSE Grade 5 Math Unit 6 - 5.MD.1 - 5.MD.5: Volume and Measurement
GSE Grade 5 Math Unit 5 - 5.G.3, 5.G.4: 2D Figures
GSE Grade 5 Math Unit 4 - 5.NF.1 - 5.NF.7, 5.MD.2: Adding, Subtracting, Multiplying, and Dividing Fractions
GSE Grade 5 Math Unit 3 - 5.NBT.2, 5.NBT.7: Multiplying and Dividing with Decimals
GSE Grade 5 Math Unit 2 - 5.NBT.1, 5.NBT.3, 5.NBT.4, 5.NBT.7: Adding and Subtracting with Decimals
GSE Grade 5 Math Unit 1 - 5.OA.1, 5.OA.2, 5.NBT.1, 5.NBT.2, 5.NBT.5, 5.NBT.6: Order of Operations and Whole Numbers
GSE Grade 5 Math Overview - All MGSE Standards - This resource contains the state curriculum map, unpacked standards, routines, and much more.
Greg Tang Math: Partials Division Strategy - 5.NBT.6 Students break the dividend into parts in before dividing. Printables provide structured practice using this strategy.
Graphing in Quadrant 1 - 5.G.1, 5.G.2 Complete lesson for teaching this standard includes a link to a Cyberchase video, student handout, assessments at two levels (proficiency and above proficiency), and answer keys.
Graphing and the Coordinate Plane - 5.G.1 Complete lesson plan on graphing in the first quadrant includes links to interactive games and copy masters for written work.
G'day math Exploding Dots - Provides instruction on teaching place value using the operations of addition, subtraction, multiplication, and division utilizing base ten machines. (5.NBT.1,2,3,6,and 7)
Extra Practice Quiz: Data and Probability - 5.G.2 Ten points are graphed and labeled. Students select from three options the correct coordinates for a specific point. If correct, 10 points are awarded. If incorrect, student gets another try for 5 points if correct. If incorrect on the second try, the correct answer is given but no points are awarded.
Extra Practice Quiz: Algebra and Graphing - 5.G.2 Ordered pairs are given and student has to decide whether or not they are in the target. Correct answers get 10 points; incorrect answer gets another try and if correct on second try, 5 points are awarded. Incorrect answers on the second try yields no points.
EngageNY: Adding Fractions with unlike denominators - NF1 NF2 This lesson develops the understanding of adding fractions with unlike denominators by requiring students to work with rectangular fraction models. Thoughtful questioning is used throughout the lesson to promote students' reasoning on the size of denominators as they create equivalent fractions and add them.
Discovering Volume - MD3 and MD4 Students work with manipulatives to make discoveries about volume.(Better Lesson)
Dino Dig - 5.G.2 Students enter ordered pairs for archeologist to dig in order to find 7 dinosaur skeletons. Helps improve naming ordered pairs and uses logic to determine which ordered pairs to select.
Coordinate Shapes - 5.G.2 Students plot points on the grid provided using a set of coordinates, joining each pair of coordinates as they go to create 8 shapes.
Coordinates: Fill in the Gaps - 5.G.2 Shapes are graphed at points in the first quadrant. Students have to identify the coordinates of the graphed shapes.
Coordinate Plane: Graphing Points - 5.G.1, 5.G.2 Tutorial includes a video explanation of graphing first quadrant points and practice for students to graph points, identify coordinates, and identify points, as well as a review summary.
Coordinate Geoboard - 5.G.1, 5.G.2 A pair of students can play a "Battleship" type game by each student creating an agreed-upon type of polygon in one color band and then guessing the coordinates of the vertices of their opponent's polygon and marking "hits" with another color band. Caution students to ignore the perpendicular lines drawn on the geoboard and consider the geoboard to represent the first quadrant. Please note: This site requires Java to run, which is not supported by the Chrome browser.
Connor and Makayla Discuss Multiplication - The purpose of this task is to Have students think about the meaning of multiplying a whole number by a fraction, and NF4 Compare this meaning to their previous understanding of multiplying a fraction by a whole number in order to see an instance of the commutative property of multiplication in the case of fractions.
Classifying Quadrilaterals - 5.G.3, 5.G.4 Video describes types of quadrilaterals, their attributes, and how they can be classified. Stop at 2:55 minutes.
Chameleon Graphing: The Coordinate Plane - 5.G.2 Tutorial that requires students to read explanations of how to graph points in the first quadrant.
Catch the Fly - 5.G.1, 5.G.2 In this game, students wait for the fly to land then type in its coordinates. If correct, a frog will unfurl its tongue to eat the fly. If incorrect, the frog's tongue extends to the coordinates given, disintegrates, and a red point is plotted in that location with its coordinates printed beside it, and the student has another opportunity to catch the fly.
Catapult Launcher: Plotting and Charting - 5.G.1, 5.G.2 In the Level 1 game, students type in the coordinates of graphed objects to aim the catapult so the stone will hit the object. Level 2 expands plotted points to appear in any of the quadrants, which could be an extension for students who have mastered 5.G.1. Other levels of this game require knowledge of slope and y-intercepts, which are not aligned to fifth grade standards.
Billy Bug and His Quest for Grub 2 - 5.G.1 Students use arrow keys to move Billy Bug to coordinates of the hidden grub and click "feed" to check to see if they located the right point. They can compete against the best time for feeding Billy ten times. The coordinate plane includes all four quadrants.
Billy Bug and His Quest for Grub - 5.G.1 Students use arrow keys to move Billy Bug to coordinates of the hidden grub and click "feed" to check to see if they located the right point. They can compete against the best time for feeding Billy ten times. The coordinate plane is restricted to first quadrant points.
Better Lesson: Representing Fraction Multiplication - NF4 and NF6 Students extend their understanding of multiplication to fractions and area models.
Better Lesson: Designing a Cereal Box:Volume - MD3 Students create and measure cereal boxes in order to determine volume to solve a real world manufacturing problem.
Better Lesson: Can you make? - NF1 and NF5 In 5th grade, students need to develop their fraction fluency and apply fraction models with addition and subtraction of fractions with unlike denominators. This lesson is just step one in developing this fluency. Students will look for equivalency patterns using fraction circle models or MP7 - look for and make use of structure.
A Rhombus - 5.G.3, 5.G.4 Short video provides a demonstration of various rhombi and gives a brief explanation of why all of them are also quadrilaterals.
5th Grade Math Content Standards (Inside Mathematics) - Performance tasks and Problems of the Month are aligned to fifth grade standards by domain.
5th Grade Geometry - 5.G.1, 5.G.2, 5.G.3 5.G.4: K-5 Math Teaching Resources site provides free sample activities to support the teaching and learning of the fifth grade geometry standards. Additional resources are available for purchase.
3-5 Progression on Number and Operations - Fractions - NF standards 3-5: Development of fraction and decimal concepts and the progression of the standards are discussed in this document. It gives teachers detailed explanation of their grade-level NF standards and explains how the work at their grade fits in the vertical progression.