# Planned Instruction for Math- Grade 6

Code |
Standard |
Content - Benchmark |
P |
Time |
Materials/Strategies/Activities |
CET |
PSSA |

2.1 | A. Represent and usenumbers 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 numericalexpressions 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 andorder 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 andproportion 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 modelto demonstrate integers and their applications. |
F. Identify and locate positive and negative numbers on a number line. |
Yes | |||||

G. Use the inverserelationships 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 byapplying the order of operations. |
A. Calculate the value of expressions involving grouping symbols . |
Yes | ||||

B. Add, subtract, multiplyand 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 ofirrational 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 tipsand 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), base-ten blocks). • Recognize and compare ratios. |
Yes | |||||

E. Determine theappropriateness 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 differencebetween 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 andprocedures 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 degreesand 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 describemeasures 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 inlinear 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 tointerpret maps or drawings. |
F. Apply appropriate conversions to measurement in real-life 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 |

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