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6th Grade Math Pretest -Please email us if you would like the answer key(free): firstname.lastname@example.org
7th Grade Math Pretest-Please email us if you would like the answer key (free): email@example.com
Lesson Planning Printables:
Rewards- A list of rewards students receive for appropriate behavior
Ideas for Incentives - A list of 49 Ideas for Low-Cost/No Cost Incentives
Open House PowerPoint- PowerPoint presentation covering how the purpose of open house is to inform parents of my expectations of their child and to help them better assess and assist their child with learning math. Also covers my classroom policies, curriculum goals and opportunities for them to get involved.
5th Grade Common Core Activities
Write and interpret numerical expressions
5.OA1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Target Number Dash
Numerical Expressions Clock
5.OA2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8+7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Analyze patterns and relationships
5.OA3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Function Table and Graph Template
Function Table and Coordinate Plane Paper
Addition on the Coordinate Plane
Subtraction on the Coordinate Plane
Understand the place value system
5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Comparing Digits **New
5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Multiplying a Whole Number by a Power of 10
Multiplying a Decimal by a Power of 10
Dividing a Whole Number by a Power of 10
Dividing a Decimal by a Power of 10
5.NBT.3 Read, write and compare decimals to thousandths.
5.NBT.3a read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g. 347.392 = 3x100 + 4x10 + 7x1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000)
Representing Decimals with Base 10 Blocks
Representing Decimals in Different Ways
Hunt for Decimals
5.NBT.3b. Compare two decimals to thousandths based on meanings of the digits in each place, using>, =, and < symbols to record the results of comparisons.
5.NBT.4 Use place value understanding to round decimals to any place.
Rounding Decimals to the Nearest Hundredth
Perform operations with multi-digit whole numbers and with decimals to hundredths
5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
Make the Largest Product
Make the Smallest Product
5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Estimating Quotients **New
Creating and Solving a Division Problem
5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction, relate the strategy to a written method and explain the reasoning used.
Decimals of the Week **New Use as morning work or for homework!
Base 10 Pictures with Decimals
Base 10 Buildings with Decimals
Base 10 Decimal Bag Addition
Base 10 Decimal Bag Subtraction
Decimal Cross Number Puzzles
Decimal Subtraction Spin
Decimal Addition to 500
Decimal Addition Bingo
Decimal Race to Zero
Decimal Magic Triangle
Magic Squares (adding decimals)
Fractions of the Week **New Use as morning work or for homework!
Use equivalent fractions as a strategy to add and subtract fractions
5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or differences of fractions with like denominators.
Fraction Word Problems (unlike denominator)
Mixed Number Word Problems (unlike denominators)
Closest to 25
Magic Squares (adding fractions)
Mixed Number Sum
Mixed Number Difference
5.NF3 Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g. by using visual fraction models or equations to represent the problem.
5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
5.NF.4a. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations axq÷b. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd)
Multiplying Fractions by Dividing Rectangles
Fraction x Fraction Word Problems
5.NF.4b. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Area Word Problems with Fractional Side Lengths
5.NF.5 Interpret multiplication as scaling (resizing) by:
5.NF.5a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.NF.5b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number; explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number, and relating the principle of fraction equivalence a/b= nxa)/(nxb) to the effect of multiplying a/b x 1
5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g. by using visual fraction models or equations to represent the problem.
Fraction x Mixed Number Word Problems
Whole Number x Mixed Number Models
Mixed Number x Fraction Models
5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
5.NF.7a. Interpret division of a unit fraction by a non-zero whole number and compute such quotients. For example, create a story context for (1/3)÷4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3)÷4 = 1/12 because (1/12) x 4 = 1/3.
Divide a Unit Fraction by a Whole Number
5.NF.7.b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4÷(1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) =20 because 20 x (1/5 )=4.
Dividing a Whole Number by a Unit Fraction
Divide a Whole Number by a Unit Fraction
5.NF.7.c. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g. by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Division of Fractions Word Problems
Measurement and Data
Convert like measurement units within a given measurement system.
Represent and Interpret Data
5.MD.1.Convert among different-sized standard measurement units within a given measure- ment system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
5.MD.2.Make a line plot to display a data set of measure- ments in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving in- formation presented in line plots. For example, given dif- ferent measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.
Measurement and Data
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
5.MD.3.Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5.MD.3aA cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure vol- ume.
5.MD.3b A solid figure which can be packed without gaps or overlaps us- ing n unit cubes is said to have a volume of n cubic units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. 5. Relate volume to the operations of multiplication and addition and solve real world and mathematical
problems involving volume.
5.MD.4aFind the volume of a right rectangular prism with whole-number side lengths by packing it with unit cu- bes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as vol- umes, e.g., to represent the associative property of multiplication.
5.MD.4b Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
5.MD.4c Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rec- tangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.5th Grade Common Core State Standards
Graph points on the coordinate plane to solve real-world and mathematical problems.
5.G.1.Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordi- nates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
5.G.2. Represent real world and mathematical problems by graphing points in the first quad- rant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
Classify two-dimensional figures into categories based on their properties..
5.G.3.Understand that attributes belonging to a cat- egory of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
5.G.4.Classify two-dimensional figures in a hierarchy based on properties.
|Thinking Blocks Ratios||Modeling Tool||Scale Factor X||Ratio Stadium||Ratio Blaster|
|Ratio Martian||Dirt Bike Proportions|
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Games: Number System
6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Compute fluently with multi-digit numbers and find common factors and multiples.
6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.
6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
Apply and extend previous understandings of numbers to the system of rational numbers.
6.NS.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
6.NS.7 Understand ordering and absolute value of rational numbers.
6.NS.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Expression and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.
6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.3 Apply the properties of operations to generate equivalent expressions.
6.EE.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Reason about and solve one variable equations and inequalities.
6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Represent and analyze quantitative relationships bewteen dependent and independent variables.
6.EE.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
6.EE.8 Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
|Weigh the Wangdoodles||Algebra Puzzle||Math on Planet Zog||Algebraic Reasoning||Modeling Tool|
6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
6.G.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
6.G.4 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Statistics and Probability
Develop understanding of statistical variability.
6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Summarize and describe distributions.
6.SP.5. Summarize numerical data sets in relation to their context, such as by:
|Math at the Mall
Learn about interest and discounts while playing at the mall.
7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
|Fruit Shoot Number Line
Practice moving along the number line using integers.
|Two Digit Integer Addition Equations
Practice adding 2-digit integers.
|Geometry Quiz Show
7th Grade Geometry Quiz Show Game -- multiple topics
|Probabilities Quiz Show
Multiple teams can play this quiz show game with probabilities.
Practice simple probability statements given desired and possible outcomes.
Practice probabilities with the Zooks!
Work with radicals and integer exponents.
Nice matching game focusing on exponents... and fish!
Answer these square root questions "Be a Millionaire"
Practice the exponents rules.
|Exponents Quiz Show
Play this quiz show game covering 8th Grade math topics.
8.E.E.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.
|IXL Practice - Proportional releationship
Write an equation for a proportional relationship or the slope of a line.
|Save the Zogs
Pick the correct linear equation to save your Zog friends.
Learn about inputs and outputs using the Function Machine!
|Basketball Slope-Intercept Game
Determine the slope of the line or the intercept and score hoops.
Experiment with geometric transformations with this fun interactive tool.
Use the Pythagorean theorem to determine the length of triangle legs.
Use the Pythagorean theorem to find the distance to capture the criminal.
|IXL Practice - Volume of pyramids and cones
Determine the volume of the pyramid using the given information.
|IXL Practice - Scatter Plots
Interpret the scatter plot and determine trend.
8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.