Try our Free Online Math Solver!

Online Math Solver
Planned Instruction for Math Grade 6
Code  Standard  Content  Benchmark  P  Time  Materials/Strategies/Activities  CET  PSSA 
2.1  A. Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots). 
A. Represent and explain relationships among decimals, fractions and percents and distinguish appropriate form to use to solve problems. 
Yes  
B. Simplify numerical expressions involving exponents, scientific notation and using order of operations 
B. Recognize and generate equivalent numerical expressions involving fractions, decimals, and percents. 
Yes  
C. Distinguish between and order rational and irrational numbers. 
C. Use a number line to represent fractions, decimals and integers and to model real life situations. • Order decimals. • Order fractions. 
Yes  
D. Apply ratio and proportion to mathematical problem situations involving distance, rate, time and similar triangles. 
D. Write a ratio or proportion to represent a real world situation. 
Yes  
E. Simplify and expand algebraic expressions using exponential forms. 
E. Classify numbers as prime or composite. Identify and determine factors, multiples, and prime factorization of a given number. 
Yes  
F. Use the number line model to demonstrate integers and their applications. 
F. Identify and locate positive and negative numbers on a number line. 
Yes  
G. Use the inverse relationships between addition, subtraction , multiplication, division, exponential notation and root extraction to determine unknown quantities in equations. 
G. Use the inverse relationships between addition, subtraction, multiplication and division to determine unknown quantities in equations. Model simple algebraic expressions using manipulatives (e.g. tiles, blocks, algebraic balances). 
Yes  
2.2  A. Complete calculations by applying the order of operations. 
A. Calculate the value of expressions involving grouping symbols . 
Yes  
B. Add, subtract, multiply and divide different kinds and forms of rational numbers including integers, decimal fractions, percents and proper and improper fractions. 
B. Add, subtract, multiply and divide decimals , and fractions (including proper and improper fractions). 
Yes  
C. Estimate the value of irrational numbers. 
C. Discuss the concept of a square root . • 3^{2} = 9 and • calculations can be used • perfect squares can be modeled with colortiles. 
Yes  
D. Estimate amount of tips and discounts using ratios, proportions and percents. • Develop and use procedures for calculating decimal percents using mental math (e.g. 1%, 10 %, 15%, 20%) 
D. Define percent. • Use concrete objects to model (e.g., decimal squares (100ths), baseten blocks). • Recognize and compare ratios. 
Yes  
E. Determine the appropriateness of overestimating or underestimating in computation. 
E. Estimate answers to addition, subtraction, multiplication, and division problems using whole numbers, decimals, and fractions. 
Yes  
F. Identify the difference between exact value and approximation and determine which is appropriate for a given situation. 
F. Explain when rounded or exact numbers are appropriate in real life problems. 
Yes  
2.3  A. Develop formulas and procedures for determining measurements (e.g., area, volume, distance). • combination figures • volume of triangular prisms, cylinders, 
A. Develop and use formulas for determining perimeter and area of rectangles, squares, and right triangles. • Identify and label the dimensions needed to determine perimeter and area (length, width, base, height) • Determine the volume and surface area of rectangular prisms using manipulatives. 
Yes  
B. Solve rate problems (e.g., rate X time = distance, principal X interest rate = interest). 
B. Identify and compare units of distance, time and rate. • Metric. • Customary. 
Yes  
C. Measure angles in degrees and determine relations of angles. 
C. Visually identify angles with measures of 45, 90, and 180 degrees. • Measure angles less than 180 degrees (within two degrees). • Identify angles as acute, straight, obtuse and right. 
Yes  
D. Estimate, use and describe measures of distance, rate, perimeter, area, volume, weight, mass and angles. 
D. Estimate and use measures of distance, perimeter, area, weight, and angles. • Metric • Customary • Model and explain linear measurement, area, and volume using manipulatives (e.g. string, squares, cubes, tiles, balances). 
Yes  
E. Describe how a change in linear dimension of an object affects its perimeter, area and volume. 
E. Using graph paper or manipulatives, change a linear dimension of an object and analyze how this change affects its perimeter and area. 
Yes  
F. Use scale measurements to interpret maps or drawings. 
F. Apply appropriate conversions to measurement in reallife situations. 
Yes  
G. Create and use scale  G. Given a scale, create a simple scale drawing using graph paper (e.g. scale drawing of classroom). 
Yes 
Prev  Next 