# Math

6th - 8th Grade

Fifth Grade Curriculum Map and Pacing Guide

What the Math Standards Look Like in 5th Grade Classroom? (Video Series)

Common Core State

Standardsand Standards for Mathematical Practices

CCSS Cheat Sheet Poster Overview - At A Glance of K-5 CCSSM Mathematical Practices Poster Flip Books-details on the standards and examples Priority Standards-Where to focus?

Progressions Documents

- Draft Front Matter
- Draft K-6 Progression on Geometry
- Draft K-5 Progression on Measurement and Data (Measurement part)
- Draft K-5 Progressions on Measurement and Data (data part)
- Draft K-5 Progressions on Number and Operations in Base Ten
- Draft K-5 Progressions on Counting and Cardinality and Operations and Algebraic Thinking
- Draft 3-5 Progressions on Number and Operations-Fractions

What Does it Look Like When you Implement a Framework Task? Video Series

What the Math Standards Look Like in 5th Grade Classroom? (Video Series)

Effective Instructional Practice Guide

CCGPS Georgia Mathematics Units Frameworks (Link to Georgia site)

5th grade -Wikispace Link (Questions, answers, resource and information for your grade level

5th Grade OverviewOrder of Operations and Whole NumbersUnit 1 Unit 1 Resources DecimalsUnit 2 Unit 2 Resources Multiplying and Dividing with DecimalsUnit 3 Unit 3 Resources Adding, Subtracting, Multiplying, and Dividing FractionsUnit 4 Unit 4 Resources Volume and MeasurementUnit 7 Unit 7 Resources 2D FiguresUnit 6 Unit 6 Resources Geometry and the Coordinate PlaneUnit 5 Unit 5 Resources Number System Fluency-Grade 6 Unit 1-6

Georgia Math Glossary Common Core Math Glossary

Smarter Balanced Assessment Information

Culminating assessments at the end of every unit(The recording sheet and scoring guide are used to see if students Need Development, are Making Progress, or are Strongly in Place on a particular standard.)

Efficient Assessment Ideas(These are embedded lessons that can be used as evidence of progress towards a standard.)Unit 1 - Resources Unit 2 - Resources Unit 3 - Resources

Unit 4 - Resources Unit 6 - Resources Unit 7 - Resources

Unit 5 - Resources

Number Talk Assessments(These are used to see progress of strategies and attainment of grade level standards- See Chapter 2.)

Wanting to support struggling learners? Check out the Support Materials Website Overview

Common Roseburg Grade 5 Problem Solving

New!! Habits of Mind and Interaction Posters

Structuring Student Math Talk Posters

Unit 1

- http://www.nzmaths.co.nz/resource/four-fours-challenge?parent_node This link provides teachers with some additional, student-centered lessons to develop the concept of order of operations.
- http://www.hp-lexicon.org/hogwarts/points.html This web page describes the points awarded and deducted during the years that Harry Potter attended Hogwarts.
- http://www.hp-lexicon.org/hogwarts/sorting_hat.html Describes the sorting hat and provides passages from several Harry Potter books.
- http://mrnussbaum.com/orderops/ Order Ops provides students with expressions to solve in bite sized chunks. Students must pay attention to which grouping and operation must be performed according to the conventions of order of operations.
- http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks1/maths/dice/ - Virtual 6-, 8-, and 10-sided dice
- http://www.syvum.com/math/wordproblems/level1.html A resource for teachers to find additional word problems
- http://www.mathplayground.com/tb_multiplication/thinking_blocks_multiplication_division.html Word problems and interactive bar models for making sense of multiplication and division
- *https://www.conceptuamath.com/app/tool/open-array-division Interactive tool for modeling partial quotients division algorithm with an open array
- *http://gregtangmath.com/includes/materials/downloads/worksheets/Division.Partials.pdf Extra practice with decomposing dividends into “friendly” numbers and finding partial quotients.

- http://www.syvum.com/math/wordproblems/level1.html A resource for teachers to find additional word problems

Unit 2

- http://www.oswego.org/ocsd-web/games/Estimate/estimate.html (Stages 5-8 allow the user to estimate the location of decimals to tenths/hundredths on an empty number line)

*Games for Building Decimal Number Sense

- http://www.decimalsquares.com/dsGames/games/darts.html
- http://www.oswego.org/ocsd-web/games/Estimate/estimate.html (Stages 5-8 allow the user to estimate the location of decimals to tenths/hundredths on an empty number line)
- http://www.decimalsquares.com/dsGames/games/blackjack.html
- http://www.decimalsquares.com/dsGames/games/laserbeam.html
- http://www.decimalsquares.com/dsGames/games/tugowar.html
- http://www.decimalsquares.com/dsGames/games/darts.html
- http://www.decimalsquares.com/dsGames/games/darts.html A game that allows students to practice benchmarking with decimals and exploring decimal density.
- https://www.conceptuamath.com/app/tool/place-value-number-line Virtual tool from Conceptua that allows students to flexibly place decimals on a number line.
- Hungry Puppies http://www.mathplayground.com/ASB_Hungry_Puppies_Decimals.html
During this game students are one of several puppies that are trying to capture two bones that are equivalent to the decimal in the middle of the gameboard. The game is very fast paced and shows a variety of ways to create sums using decimal addends.

Unit 3

- *https://www.desmos.com/calculator/pfpwczmore This is an interactive calculator from Desmos that models multiplication of decimals.
- http://www.mathplayground.com/functionmachine.html function machine activity
The Learnzillion videos below show strategies for multiplying a decimal by a whole number as well as a decimal by another decimal.

- Multiply Decimals by Whole Numbers Using an Area Model http://learnzillion.com/lessons/556-multiply-decimals-by-whole-numbers-by-using-an-area-model
- Use Multiplication to Multiply Decimals by Decimals http://learnzillion.com/lessons/557-use-multiplication-to-multiply-decimals-by-decimals
- Multiplying Whole Numbers and Decimals Using an Area Model http://learnzillion.com/lessons/558-multiplying-whole-numbers-and-decimals-using-an-area-model

Unit 4

- http://calculationnation.nctm.org/Games/ this site, from NCTM, has engaging and sometimes addictive games for practicing calculations based on strategy.
- http://www.k-5mathteachingresources.com/ this site offers simple contextual problems to use to extend and support students in their understanding of fraction computation and all problems are correlated to CCSS.
- http://www.bbc.co.uk/schools/ks2bitesize/maths/number/ a lot of games and activities for students to use to practice working with fractions and decimals as well as whole numbers.
- http://www.sheppardsoftware.com/mathgames/fractions/mathman_fractions_add_uncommon.htm Mathman: Adding Fractions with Unlike Denominators is a game similar to Pacman. Students find the sum of two fractions with unlike denominators and eat ghosts that contain the equivalent sum to earn points in the game.
- *http://www.visualfractions.com/add.htm A set of interactive tools that allows students to represent fraction addition with measurement (lines) and area (circles) models.
- *https://www.conceptuamath.com/app/tool/adding-fractions-with-uncommon-denominators Highly interactive tool that allows students/teachers to represent fraction addition with number lines and area models, and also allows the use to input a customized word problem.
https://www.conceptuamath.com/app/tool/subtracting-fractions-with-uncommon-denominators

Highly interactive tool that allows students/teachers to represent fraction addition/subtraction with number lines and area models, and also allows the user to input a customized word problem.

http://www.counton.org/games/map-fractions/racing/ this is an interactive board game where players race bikes on a game board by adding fractions with like denominators. Students may choose from boards with & or , , & .

- http://www.counton.org/games/map-fractions/frosty/ this is an interactive three across board game where players add fractions with like and unlike denominators and place a virtual counter on the sum. The first to get three in a row wins the game. The model provided at the bottom of the game board is a powerful tool for helping children see common denominators and decompose fractions with common denominators.
- http://learnzillion.com/lessons/125-multiply-fractions-by-fractions-finding-a-part-of-a-part

- This Learnzillion video, “Multiplying Fractions by Fractions: Finding Part of a Part” shows how to draw and partition models to find the product of two fraction factors that are less than one. Students learn about finding a fraction of a fraction as they solve problems in the tutorial.
http://www.learner.org/courses/learningmath/number/session9/part_a/area_division.html

This resource is for teacher understanding.This is another lesson about division of fractions. This is where students will be in sixth grade, but this is a great resource to build teacher understanding of fraction division.- http://www.k-5mathteachingresources.com/ this site offers simple contextual problems to use to extend and support students in their understanding of fraction computation and all problems are correlated to CCSS.
https://www.conceptuamath.com/app/tool/divide-measurement

Highly interactive tool that allows students/teachers to represent fraction division with number lines and area models, and also allows the user to input a customized word problem.

Unit 5

- http://www.crickweb.co.uk/ks2numeracy-shape-and-weight.html#quad Play the Polygon Capture game
- http://www.nctm.org/standards/content.aspx?id=25040 This interactive activity explores geometric relationships and make and test conjectures.
- http://illuminations.nctm.org/LessonDetail.aspx?ID=L350In this lesson, from Illuminations, students use dynamic software to examine the properties of rectangles and parallelograms and then identify what distinguishes a rectangle from a more general parallelogram. Using spatial relationships, they examine the properties of two- and three-dimensional shapes. The lesson links to a virtual manipulative that allows students to compare rectangles and parallelograms.
- http://www.basic-mathematics.com/types-of-triangles.html Gives basic definitions for the types of triangles. Note: this web site contains advertising.
- http://www.k-5mathteachingresources.com/Geometry-Interactive-Whiteboard-Resources.htmlThis resource has a triangle sort activity in which can be used for additional practice or remediation purposes.
- http://illuminations.nctm.org/Lesson.aspx?id=2917 This lesson from Illuminations discusses how to classify triangles..
- https://www.schoology.com/resources/public/27010947/profile This tutorial video discusses classifying triangles according to the measure of their sides; determining that the sum of the angles of a triangle equals 180 degrees; finding the perimeter of a triangle; and classifying triangles according to the measures of their angles.
- http://teams.lacoe.edu/documentation/classrooms/amy/geometry/6-8/activities/quad_quest/quad_quest.html Quadrilateral Quest, testing properties of quadrilaterals
- *http://safeshare.tv/v/ss56aa7885e3e9c A video that illustrates and justifies how to classify quadrilaterals using inclusive definitions.
- http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/geo/player.html?contentSrc=6699/6699.xml This tutorial video discusses classifying triangles according to the measure of their sides; determining that the sum of the angles of a triangle equals 180 degrees; finding the perimeter of a triangle; and classifying triangles according to the measures of their angles.
- http://www.mathsisfun.com/quadrilaterals.html
Quadrilaterals Definition: This definition includes an interactive tool that allows students to manipulate the vertices to make quadrilaterals with varying attributes. It could be utilized by students individually or in a whole group setting by projecting the image on the screen, manipulating the vertices and discussing with students what attributes the resulting quadrilateral has. (e.g., parallel sides, perpendicular sides, types of angles, etc.)

- http://illuminations.nctm.org/LessonDetail.aspx?ID=L202In this lesson, one of a multi-part unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children's literature. They listen to the poem "Shapes" from Shel Silverstein's "A Light in the Attic" and then recognize, draw, and describe geometric figures.
- http://illuminations.nctm.org/LessonDetail.aspx?ID=L554In this lesson, one of a multi-part unit from Illuminations, students review different geometric terms. They explore these and other geometric concepts by modeling on the geoboard.

Unit 6

- *http://www.classzone.com/cz/books/msmath_1_ga/resources/applications/animations/chapter_5/html/g7_5_5.html Students reason about various customary units of measurement.
*http://www.classzone.com/cz/books/msmath_1_ga/resources/applications/animations/chapter_5/html/g7_5_6.html Students practice converting customary measurements. This site also provides linear models as hints for reasoning about the relationship between two different units of measure.- http://illuminations.nctm.org/Lesson.aspx?id=1141 This links to the inspiration for this task and provides additional instructions for students to measure the volume of water, graph the results, explore volume of containers, and design containers for water.
http://illuminations.nctm.org/LessonDetail.aspx?ID=L520 In this lesson, one of a multi-part unit from Illuminations, students conduct a survey based on a food court theme and then create pictographs and line plots.

- http://illuminations.nctm.org/ActivityDetail.aspx?id=6 This student interactive, from Illuminations, helps students explore the volume of a box based on the amount of unit cubes that can fit inside of it.
- Building Rectangular Prisms with a Given Volume http://www.k-5mathteachingresources.com/5th-grade-measurement-and-data.html
This activity uses centimeter cubes to find various ways to construct a rectangular prism that has a volume of 24 cubic centimeters. Students can record a drawing of each prism constructed along with its dimensions. Students can compare and contrast the rectangular prisms in writing by discussing the similarities and differences among them.

- http://illuminations.nctm.org/ActivityDetail.aspx?id=6 This student interactive, from Illuminations, helps students explore the volume of a box based on the amount of unit cubes that can fit inside of it.
- http://illuminations.nctm.org/LessonDetail.aspx?ID=L240 In this lesson, from Illuminations, students explore how variations in solar collectors affect the energy absorbed. They make rectangular prisms that have the same volume but different linear dimensions. Students investigate relationships among the linear dimensions, the area, and the volume of rectangular prisms.
- Solve Real World Liquid Volume Problems with Unit Conversions http://learnzillion.com/lessons/3502-solve-real-world-liquid-volume-problems-with-unit-conversions This Learnzillion video reviews common customary measurement conversions and shows strategies for making conversions within the same system of measurement to solve word problems.

Unit 7

- *http://www.oswego.org/ocsd-web/games/billybug/bugcoord.html Interactive coordinate grid game.
- http://mathwire.com/games/gridlock2.pdf
Gridlock is a game available on Mathwire.com that helps students practice forming ordered pairs and plotting them on a coordinate grid. After each game, students can tell a story about the data they plotted in each round.

- *http://www.oswego.org/ocsd-web/games/billybug/bugcoord.html Interactive coordinate grid game.

Comparing Fractions Powerpoint-1st trimester 2013

Comparing Fractions Building follow-up-1st trimester 2013

Fractions Part 2 Powerpoint-1st trimester 2013

Fractions Part 2 Building Follow-up-1st trimester 2013

Conferring with Student Mathematicians-revised-1st trimester 2013

Conferring Building Follow-up-1st trimester 2013

1st Trimester Early Release Powerpoint