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Sixth Grade Math Standards |
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Standard 1: Number SenseStudents compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and factors. |
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Understand and apply the basic concept of negative numbers (e.g., on a number line, in counting, in temperature, in "owing"). |
Activities
from Indiana's Academic Standards & Resources Online Circle 99 - The goal of this puzzle is to put three numbers inside of each circle so that they add up to 99 using positive and negative numbers.. Comparing
Values - Create your own math facts worksheets for comparing values.
Problems can include calculations using positive and negative numbers,
and two-digit decimal values. Manipulatives Quizmo Place Value - Identify the place value of a given digit ((KIT 510 PLA) |
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Interpret the absolute value of a number as the distance from zero on a number line, and find the absolute value of real numbers. |
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from Indiana's Academic Standards & Resources Online Manipulatives PLATO |
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Compare and represent on a number line positive and negative integers, fractions, decimals (to hundredths), and mixed numbers. |
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from Indiana's Academic Standards & Resources Online Number Line Bars - Fractions -This is a very versatile tool that can be used to illustrate a variety of number operations. The background of the workspace is marked by light gray grid lines. The default step-size of the grid lines is 1/10 unit. Manipulatives Exploring Fractions and Decimals Kit - (KIT
510 EXP) |
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Convert between any two representations of numbers (fraction, decimals, and percents) without the use of a calculator. |
Activities
from Indiana's Academic Standards & Resources Online Activities Convert
a fraction to a decimal with WebMath PLATO Foundational Mathematics W/Assessments-Performing Operations with Decimals-Renaming a Fraction as a Decimal Manipulatives Exploring Fractions and Decimals Kit |
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Recognize decimal equivalents for commonly used fractions without the use of a calculator. |
Activities
from Indiana's Academic Standards & Resources Manipulatives Fraction Decimal Equivalence dominoes - T1220 - Players take turns at placing the first domino to commence any game. Players in turn attempt to link any connecting value held, matching equivalent values. PLATO Foundational Mathematics W/Assessments-Understanding Decimals-Relating Decimals, Fractions, and Mixed Numbers |
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Use models to represent ratios |
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from Indiana's Academic Standards & Resources Online Activities Ratios Manipulatives Fraction Dominoes T483 - This set consists of 24 dominoes, each with one of four shapes printed clearly with fraction divisions on the right-hand side and a different written fraction on the left. (KIT 510 FRA) |
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Find the least common multiple and the greatest common factor of the whole numbers. Use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction. |
Activities
from Indiana's Academic Standards & Resources Online Activities Fraction Four Students play a generalized version of connect four, gaining the chance to place a piece on the board by simplifying a fraction. Parameters: Level of difficulty of fractions to simplify. The Factor Tree Use to display prime numbers Manipulatives Fraction Lowest Term Dominoes T755
- Players take turns at placing the first domino to commence
any game. Players in turn attempt to link any connecting value held, matching
equivalent values. |
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Standard 2: Computation
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| 6.2.1
Add and subtract positive and negative integers. |
Activities
from Indiana's Academic Standards & Resources Online What's
Left in the Bucket? Manipulatives |
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Multiply and divide positive and negative numbers |
Activities
from Indiana's Academic Standards & Resources Computation
With Positive and Negative Numbers (Option A) Multiplying
Positive and Negative Numbers |
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Multiply and divide decimals |
Activities
from Indiana's Academic Standards & Resources Math Thematics Book 1(McDougal Littell) Module 3- Section 5 & Section 6 |
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Explain how to multiply and divide positive fractions and perform the calculations |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives Number Fraction Dominoes - T636 (TaskMaster) Multiply a fraction by a whole number and match the problem with the solution domino (KIT510 NUM) |
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Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation |
Activities
from Indiana's Academic Standards & Resources
Online Activities Party Planning using a Pie Chart Manipulatives |
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Interpret and use ratios to show the relative sizes of two quantities. Use the notations: a/b, a to b, a:b |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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Understand proportions and use them to solve problems |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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Use estimation to decide whether answers are reasonable in decimal problems |
Activities
from Indiana's Academic Standards & Resources Online Activities Estimation Estimating sums, differences and decimals |
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Use mental arithmetic to add or subtract simple fractions and decimals |
Activities from Indiana's
Academic Standards & Resources Online Activities United Streaming: Maths Mansion: 26. More Fraction
Action (09:13) Manipulatives |
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Standard 3: Algebra and FunctionsStudents write verbal expressions and sentences as algebraic expressions and equations. They evaluate algebraic expressions, solbe simple linear equations, and graph and interpret their results. They investigate geometric relationships and describe them algebraically. |
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Write and solve one-step linear equations and inequalities in one variable and check the answers. |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives Equate: The Equation Thinking Game- Learn the correct order to perform the operation +,-.x, and ÷. Learn when the order for positioning numbers about an operation matters. Utilize the special properties of the numbr 0 and 1. Master fraction rules. Practice forming and maintaining true equality statements. Learn to distinguish between expressions and equations. (KIT 500 EQU) Hands On Equations - This system, comprising twenty-five lessons and one optional lesson, provides concrete and invaluable experience in using the basic ideas associated with algebraic linear equations. (KIT 510 HAN) First Algegra Links Set 2 -(TaskMaster, LTD, T943) Domino game that links correct values held with those on the table. (KIT 510 FIR) |
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Write and use formulas with up to three variables to solve problems. |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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Interpret and evaluate mathematical expressions that use grouping symbols such as parentheses. |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations. |
Activities
from Indiana's Academic Standards & Resources Online Order of Operations -Mrs. Glosser's Math Goodies -Lessons for Order of Operations and parentheses |
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Use variables in expressions describing geometric quantities. |
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from Indiana's Academic Standards & Resources Online Algebra Tiles - Illustrate equations using algebra tiles to represent your formula Manipulatives |
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Apply the correct order of operations and the properties of real numbers (e.g., identity, inverse, commutative, associative, and distributive properties) to evaluate numerical expressions. Justify each step in the process. |
Activities
from Indiana's Academic Standards & Resources Online MathO
- Order of Operations practice |
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Identify and graph ordered pairs in the four quadrants of the coordinate plane. |
Activities
from Indiana's Academic Standards & Resources Online Activities Manipulatives Battleship Game-In the +,+ Quadrant of a Graph. By combing several of these games and relabeling students can create graph that can be played. |
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| 6.3.8 |
Activities
from Indiana's Academic Standards & Resources Online Manipulatives |
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| 6.3.9 |
Activities
from Indiana's Academic Standards & Resources Math Thematics Book 1(McDougal Littell) - Module 7- Section 6 , Module 4 - Section 5 |
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Standard 4: GeometryStudent identify, describe, and classify the properties of plane and solid geometric shapes and the realtionships between them. |
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| 6.4.1 Identify and draw vertical, adjacent, complementary, and supplementary angles and describe these angle relationships. |
Activities from Indiana's Academic Standards & Resources Pairs
of Angles (includes BLM Pairs of Angles) Online Activities Interactive
Shapes - MathNet United Streaming: Discovering
Math: Geometry (Grades 6-8) (59:04) Manipulatives Geometry Dominoes TaskMaster LTD. T504
- Dominoes matching terms to illustrations. (KIT 510 GEO) |
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| 6.4.2 Use the properties of complementary, supplementary, and vertical angles to solve problems involving an unknown angle. Justify solutions. |
Activities from Indiana's Academic Standards & Resources Pairs
of Angles (includes BLM Pairs of Angles) |
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| 6.4.3 Draw quadrilaterals and triangles from given information about them. |
Activities from Indiana's Academic Standards & Resources Angles
and Shapes (Option A) (Assessment) |
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| 6.4.4 Understand that the sum of the interior angles of any triangle is 180° and that the sum of the interior angles of any quadrilateral is 360°. Use this information to solve problems. |
Activities from Indiana's Academic Standards & Resources Angles
and Shapes (Option A) (Assessment) |
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| 6.4.5 Identify and draw two-dimensional shapes that are similar. |
Activities from Indiana's Academic Standards & Resources Angles
and Shapes (Option A) (Assessment) |
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| 6.4.6 Draw the translation (slide) and reflection (flip) of shapes. |
Activities from Indiana's Academic Standards & Resources Reflect or Translate (includes BLMs Reflect or Translate Instructions and Reflect or Translate) Online Tanagrams To understand that by flipping and rotating geometric shapes a new form can be created. Assessments Manipulatives: GeoReflectors-Flip'em Game
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| 6.4.7 Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids. |
Activities from Indiana's Academic Standards & Resources Manipulatives
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Standard 5: MeasurementStudents deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems. They calculate with temperature and money, and choose appropriate units of measure in other areas.
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| 6.5.1 Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles. |
Activities from Indiana's Academic Standards & Resources Looking for Units (includes BLM Scavenger Hunt) Online Activities MeasureIT
- FunBrain - Measurement using centimeters and inches Lessons Competing
Coasters Manipulatives Volume calculation dominoes - T1392 - Pupils
are required to match dimensioned cubes and cuboids with their corresponding
volume in cm3 or m3. (KIT 510 VOL) |
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| 6.5.2 Understand and use larger units for measureing length by comparing miles to yards and kilometers to meters. |
Activities from Indiana's Academic Standards & Resources United Streaming Video: Measure for Measure:
Lengths and Heights (56:00) |
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| 6.5.3 Understand and use larger units of measure by comparing square miles to square yards and square kilometers to square meters. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
| 6.5.4 Understand the concept of the constant pi as the ratio of the circumference to the diameter of a circle. Develop and use the formulas for the circumference and area of a circle. |
Activities from Indiana's Academic Standards & Resources Online United Streaming: Discovering Math: Measurement
(Grades 6-8) (1:11:27) |
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| 6.5.5 Know common estimates of Pi (3.14, 22/7) and use these values to estimate and calculate the circumference and the area of circles. Compare with actual measurements. |
Activities from Indiana's Academic Standards & Resources Online Discovering
the Value of Pi An experiment: students
measure the circumferences of circles of different radii, and analyze
the data to find out if there's a special relationship between their circumferences
and diameters. |
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| 6.5.6 Understand the concept of significant figures and round answers to an appropriate number of significant figures. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
| 6.5.7 Construct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface area of these objects. |
Activities from Indiana's Academic Standards & Resources Lessons |
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| 6.5.8 Use strategies to find the surface area and volume of right prisms and cylinders using appropriate units. |
Activities from Indiana's Academic Standards & Resources Lessons: Linking Length, Perimeter, Area, and Volume: Part 3 - Fill'r Up |
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| 6.5.9 Add, subtract, multiply, and divide with money in decimal notation. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
Standard 6: Data Analysis and ProbabilityStudents compute and analyze statistical measures for data sets. They determine theoretical and experimental probabilities and use them to make predictions about events. |
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| 6.6.1 Organize compute and analyze statistical measures for data sets. They determine theoretical and experimental probabilities and use them to make predications about events. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
| 6.6.2 Make frequency tables for numerical data, grouping the data in different ways to investigate how different groups describe the data. Understand and find relative and cumulative frequency for a data set. Use histograms of the data and of the relative frequency distribution, and a broken line graph for cumulative frequency, to interpret the data. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
| 6.6.3 Compare the mean, median, and mode for a set of data and explain which measure is most appropriate in a give context. |
Activities from Indiana's Academic Standards & Resources Online Activities Statistical
Mean or Average of 1 Digit Numbers - Lean, Practice and Play |
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| 6.6.4 Show all possible outcomes for compound events in an organized way and find the theoretical probability of each outcome. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
| 6.6.5 Use data to estimate the probability of future events. |
Activities from Indiana's Academic Standards & Resources Interactive Activities Analyzing
game probabilities - online quiz |
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| 6.6.6 Understand and represent probabilities as ratios, measures of relative frequency, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable. |
Activities from Indiana's Academic Standards & Resources | ||||||||||||
Standard 7: Problem Solving: Students make decisions about how to approach problems and communicate their ideas. |
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| 6.7.1 Analyze problems by identifying relationships, telling relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) Lessons: Linking Length, Perimeter, Area, and Volume: Part 3 - Fill'r Up |
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Make and justify mathematical conjectures based on a general description of a mathematical question or problem. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) Lessons: Linking Length, Perimeter, Area, and Volume: Part 2 - Go With Green Rectangles |
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Decide when and how to break a problem into simpler parts. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Apply strategies and results from simpler problems to solve more complex problems. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) United Streaming: Discovering
Math: Problem Solving (Grades 6-8) (1:11:12) |
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Express solutions clearly and logically by using the appropriate mathematical terms and notation. Support solutions with evidence in both verbal and symbolic work. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Recognize the relative advantages of exact and approximate solutions
to problems and give answers to a specified degree of accuracy. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Select and apply appropriate methods for estimating results of rational-number computations. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Use graphing to estimate solutions and check the estimates with analytic approaches. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Make precise calculations and check the validity of the results in the context of the problem. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Decide whether a solution is reasonable in the context of the original situation. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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Note the method of finding the solution and show a conceptual understanding of the method by solving similar problems. |
Activities from Indiana's Academic Standards & Resources Fahrenheit
vs. Celsius (includes BLMs Fahrenheit vs. Celsius Graph and Finding a
Formula for Fahrenheit/Celsius Conversion) |
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