Sixth Grade Interactive Math Sites

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Sixth Grade Math Power Standards
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Click on the concept to access interventions for each concept. Interventions include listings of instruction and practice in Everyday Mathematics and/or Houghton Mifflin. (All Houghton Mifflin Practice, Reteach, Enrichment, Homework, Problem Solving and English Learners sheets are online here.) Also on each page for each concept is a listing of websites that are specific to the concept - both for teacher instruction and student practice.

Category Concept Stndrd Objective
Algebra      
Describe simple relationships by creating and analyzing tables, equations, and expressions II 1a
Draw a graph and write an equation from a table of values II 1b
Draw a graph and create a table of values from an equation II 1c
Solve single variable linear equations using a variety of strategies II 2a
Recognize that expressions in different forms can be equivalent; rewrite an expression to represent a quantity in different way II 2b
Evaluate, simplify expressions & formulas, substituting values for variables II 2c
Explore how a change in one variable affects a second variable II Explore
Develop understanding of slope as constant rate of change II Explore
Compare Fractions, Decimals, and Percents      
Compare & order rational numbers, including positive & negative mixed fractions and decimals I 2b
Find equivalent forms for common fractions, decimals, %s, ratios, including repeating or terminating decimals I 2c
Relate %s less than 1% or greater than 100% to equivalent fractions, decimals, whole #s and mixed #s I 2d
Computation Estimation      
Use estimation to determine whether results obtained using a calculator are reasonable I 5b
Use estimation or calculation to compute results, depending on the context and #s involved in the problem. I 5c
Data      
Describe simple relationships by creating and analyzing tables, equations, and expressions II 1a
Extend data display and comparisons to include scatter plots and circle graphs V 1b
Compare 2 similar sets of data on the same graph; compare 2 graphs representing the same set of data V 1c
Recognize that changing the scale influences the appearance of a display of data V 1d
Propose and justify inferences and predictions based on data V 1e
Decimals      
Place rational #'s on a number line I 2a
Compare & order rational numbers, including positive & negative mixed fractions and decimals I 2b
Use estimation or calculation to compute results, depending on the context and #s involved in the problem. I 5c
Multiply & divide a multi digit # by a 2 digit #, including decimals I 6a
Division      
Give mixed number and decimal solutions to division problems with whole #s I 4c
Use estimation or calculation to compute results, depending on the context and #s involved in the problem. I 5c
Multiply & divide a multi digit # by a 2 digit #, including decimals I 6a
Solve single variable linear equations using a variety of strategies II 2a
Convert units of measurement within metric system; convert units of measurement within the customary system IV 2b
Design investigations to answer questions V 1a
Fractions      
Place rational #'s on a number line I 2a
Compare & order rational numbers, including positive & negative mixed fractions and decimals I 2b
Find equivalent forms for common fractions, decimals, %s, ratios, including repeating or terminating decimals I 2c
Relate fractions to multiplication & division; use to explain procedures for multiplication & division of fractions I 4a
Add, subtract, multiply and divide fractions and mixed numbers I 6b
Explore addition and subtraction of positive & negative fractions. I Explore
Solve single variable linear equations using a variety of strategies II 2a
Identify & draw shapes & figures from different views/perspectives III Explore
Geometry      
Identify midpoint of line segment & center and circumference of a circle III 1a
Identify angles as vertical, adjacent, complementary, or supplementary; provide descriptions III 1b
Develop and use properties of complementary & supplementary angles and the sum of angles of a triange to solve problems w/unknown angle in a triangle or quadrilateral III 1c
Rotate a polygon about the origin by a multiple of 90 degrees; identify the location of new vertices III 2a
Translate polygon horizontally or vertically on coordinate grid; identify the location of new vertices III 2b
Reflect a polygon across the x or y axis; identify the location of the new vertices III 2c
Use manipulatives & technology to model geometric shapes III Explore
Investigate tessellations III Explore
Explore angles formed by intersecting lines III Explore
Identify & draw shapes & figures from different views/perspectives III Explore
Integers      
Recognize a rational # as a ratio of two integers, a to b, where b is not equal to zero I 1a
Add & subtract integers I 6c
Sum of an integer and its additive inverse is 0 I 2e
Measurement      
Identify & draw shapes & figures from different views/perspectives III Explore
Explore relationship between radius and diameter of circle to circle's circumference to develop formula for circumference IV 1a
Find circumference using a formula IV 1b
Describe pi as the ratio of the circumference to the diatmeter of a circle IV 1c
Decompose a circle into a number of wedges and rearrange the wedges into a shape that approx. parallelogram to develop formula for area of circle IV 1d
Find the area of a circle using a formula IV 1e
Recognize that measurements are approx.; describe how the size of the unit used in measuring affects the precision IV 2a
Convert units of measurement within metric system; convert units of measurement within the customary system IV 2b
Compare a meter to a yard, a liter to a quart, a kilometer to a mile IV 2c
Determine when it is appropriate to estimate or use precise measurement when solving problems IV 2d
Derive and use the formula to determine the surface area and volume of a cylinder IV 2e
Investigate volumes and surface areas of a variety of 3D objects IV Explore
Recognize that changing the scale influences the appearance of a display of data V 1d
Multiplication      
Multiply & divide a multi digit # by a 2 digit #, including decimals I 6a
Number Concepts      
Determine whether whole #s to 100 are prime, composite or neither I 3a
Prime factorization of numbers to 100 I 3b
Find the GCF, LCM for 2 #s using variety of methods (list of multiples, prime factorization) I 3c
Number Lines      
Place rational #'s on a number line I 2a
Percents      
Find equivalent forms for common fractions, decimals, %s, ratios, including repeating or terminating decimals I 2c
Relate %s less than 1% or greater than 100% to equivalent fractions, decimals, whole #s and mixed #s I 2d
Place Value      
Change whole #s w/exponents to standard form I 1b
Any # to the zero power equals 1 I 1b
Write a whole # in expanded form using exponents I 1c
Express #s in scientific notation using positive powers of ten I 1d
Recognize that expressions in different forms can be equivalent; rewrite an expression to represent a quantity in different way II 2b
Probability      
Write results of a probability experiment as a fraction between zero and one, or an equivalent % V 2a
Compare experimental results with theoretical results V 2b
Compare individual, small group, and large group results of a probability experiment in order to more accurately estimate the actual probabilities V 2c
Investigate the notion of fairness in games V Explore
Properties      
Explore the distributive property of multiplication over addition of double digit multipliers I Explore
Ratios & Proportions      
Recognize that ratios derive from pairs of rows in the multiplication table and connect with equivalent fractions I 4b
Solve problems using ratios and proportions I 5d
Model situations with proportional relationships & solve problems II Explore
Word Problems      
Select appropriate methods to solve a multi-step problem involving multiplication and division of fractions and decimals I 5a
Design investigations to answer questions V 1a
       
New Math Core Standards & Objectives      
STANDARDS OBJECTIVES
I. Students will expand number sense to include operations with rational numbers
1. Represent rational numbers in a variety of ways
2. Explain relationships and equivalencies among rational numbers.
3. Use number theory concepts to find prime factorizations, least common multiples and greatest common factors.
4. Model and illustrate meanings of operations and describe how they relate
5.  Solve problems involving multiple steps
6.  Demonstrate proficiency with the 4 operations, with positive rational numbers and with addition and subtraction of integers.
II. Use patterns, relations, algebraic expressions to represent, analyze mathematical problems & # relationships.
1. Analyze algebraic expressions, tables, graphs to determine patterns, relations, rules.
2.  Write, interpret and use mathematical expressions, equations, and formulas to represent and solve problems that correspond to given situations.
III. Use spatial & logical reasoning to recognize, describe, analyze geometric shapes and principles.
1.  Identify and analyze attributes and properties of geometric shapes to solve problems.
2.  Visualize and identify geometric shapes after applying transformations on a coordinate plane.
IV. Understand and apply measurement tools and techniques and find the circumference and area of a circle.
1.  Describe and find the circumference and area of a circle.
2.  Identify and describe measurable attributes of objects and units of measurement and solve problems involving measurement.
V.  Analyze, draw conclusions, make predictions based upon data and apply basic concepts of probability.
1.  Design investigations to reach conclusions using statistical methods to make inferences based on data.
2.  Apply basic concepts of probability and justify outcomes.
       
IMPORTANT MATHEMATICAL LANGUAGE & SYMBOLS STUDENTS SHOULD USE:    
Standard I prime, composite, exponent, least common multiple, least commondenominator, greatest common factor, decimals, percents, divisible, divisibility , equivalent fractions, integer, dividend, quotient, divisor, factor, simplest terms, mixed numberal, improper fraction
Standard II order of operations, sequence, function, pattern, algebraic expression, approximately equal to, notation for exponents: 43 or 4^3, a number in front of a variable indicates multiplication, formula, generalization
Standard III midpoint, circumference, complementary and supplementary angles, rotate, translate, reflect, transformation
Standard IV cylinder, radius, diameter, circumference, area, surface area, volume, pi (π)
Standard V data display, scatter plot, circle graph, scale, predict, justify, probability, experimental results, theoretical results
   


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