GRADE 6 MATHEMATICS
Shaded objectives should be assessed in the classroom, but not included
on the ISAT assessment.
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Standard 1: Number and
Operation |
Objective |
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Activity |
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Goal
1.1: Understand and use numbers. |
6.M.1.1.1
Compare magnitudes and relative magnitudes of positive rational numbers,
including whole numbers through billions, fractions, and decimals. |
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6.M.1.1.2
Explain the interrelationship of fractions, decimals, and percents. |
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6.M.1.1.3 Locate the position of integers on a
number line. |
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6.M.1.1.4
Convert between decimals and fractions. |
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6.M.1.1.5
Apply number theory concepts (prime, composite, prime factorization) and identify
common factors and common multiples. |
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6.M.1.1.6
Solve problems using the 4-step process of problem solving (explore, plan,
solve, and examine). |
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6.M.1.1.7 Describe the use of integers
in real-world situations. |
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6.M.1.1.8 Use appropriate vocabulary. |
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Goal 1.2: Perform computations accurately. |
6.M.1.2.1
Recall basic multiplication and division facts from 12 x 12 Times Table. |
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6.M.1.2.2
Add, subtract, multiply, and divide whole numbers, decimals, and simple
fractions (including unlike denominators). |
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Adding Two Digit Numbers Without
Renaming Addition with Pencil and Paper
Subtraction Equations - One Digit
Numbers Subtraction Equations - Two Digit
Numbers Subtraction using Pencil and
Paper Subtraction using a Calculator
Subtraction of Three Digit
Numbers Subtraction Equations - Three
Digit Numbers Subtraction of Four Digit Numbers
Subtraction Equations - Four
Digit Numbers Subtraction of Five Digit Numbers
Subtraction Equations - Five
Digit Numbers Subtraction of Six Digit Numbers
Subtraction Equations - Six Digit
Numbers Subtraction of Seven Digit
Numbers Multiplication of Two Digit
Numbers Multiplying Thousandths by Tenths
Multiplying Thousandths by
Hundredths Multiplying Thousandths by
Thousandths Divide a 4 Digit by a 2 Digit
number Divide a 5 Digit by a 3 Digit
number Divide a 6 Digit by a 2 Digit
number Divide a 6 Digit by a 3 Digit number
Divide a 6 Digit by a 4 Digit
number Divide a 7 Digit by a 3 Digit
number Divide a 7 Digit by a 4 Digit
number Division By other Decimals - I
Division By other Decimals - II |
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6.M.1.2.3
Evaluate numerical expressions with whole numbers using the order of operations
(excluding exponents). |
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Practice
with Order of Operations |
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6.M.1.2.4
Select and use an appropriate method of computation from mental math, paper
and pencil, calculator or a combination of the three. |
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6.M.1.2.5
Use a variety of strategies to solve real-life problems. |
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6.M.1.2.6
Use appropriate vocabulary and notations. |
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Goal 1.3: Estimate and judge reasonableness of
results. |
6.M.1.3.1
Estimate to predict computation results. |
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6.M.1.3.2
Explain when estimation is appropriate. |
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6.M.1.3.3
Identify whether a given estimate is an overestimate or underestimate. |
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Front End Estimation -
Differences |
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6.M.1.3.4
Use a four-function calculator to solve complex grade-level problems |
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6.M.1.3.5
Formulate conjectures and discuss why they must be or seem to be true. |
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6.M.1.3.6
Use appropriate vocabulary. |
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Standard 2: Concepts and Principles of
Measurement |
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Goal 2.1: Understand and use |
6.M.2.1.1
Select and use appropriate units and tools to make formal measurements in
both systems. |
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6.M.2.1.2
Apply estimation of measurement to real-world and content problems using
standard measuring devices. |
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6.M.2.1.3
Apply understanding of relationships to solve real-world problems related to
elapsed time |
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6.M.2.1.4
Given the formulas, find the perimeter or circumference and area of
triangles, circles and parallelograms-all kinds |
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Spy
Guys Interactive - Area and Perimeter |
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6.M.2.1.5
Convert units of measurement within each system in one-step problems (e.g.,
quarts to gallons and gallons to quarts). |
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Practice converting
from one metric unit to another |
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6.M.2.1.6
Solve problems involving perimeter and area of rectangles. |
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6.M.2.1.7
Use appropriate vocabulary and notations. |
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Goal 2.2: Apply the concepts of rates, ratios, and
proportions. |
6.M.2.2.1 Identify and write ratios and
scales (on a map). |
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Goal 2.3: Apply dimensional analysis. |
No
objectives at this grade level. |
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Standard 3: Concepts and Language of
Algebra and Functions |
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Goal 3.1: Use algebraic symbolism as a tool to
represent mathematical relationships. |
6.M.3.1.1
Discuss the meaning and use of variables in simple expressions and equations. |
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6.M.3.1.2
Translate simple word statements into algebraic equations |
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Select the shape that
comes next Spy
Guys Interactive - Summarizing/Extending Patterns |
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6.M.3.1.3
Read and use symbols of “<,” “>,” and “=” to express relationships |
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Activity |
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Goal 3.2: Evaluate algebraic expressions. |
6.M.3.2.1
Use the following properties in evaluating numerical expressions:
commutative, associative, identity, zero, inverse, and distributive. |
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Evaluating Expressions with one
Variable Evaluating Expressions with two
Variable |
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6.M.3.2.2
Evaluate simple algebraic expressions using substitution |
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Goal 3.3: Solve algebraic equations and
inequalities. |
6.M.3.3.1 Solve one-step equations with
whole numbers. |
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Equations 5 |
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Goal 3.4: Understand the concept of functions. |
6.M.3.4.1 Extend simple patterns and
state a rule (function) that generates the pattern using whole numbers,
decimals, and fractions as inputs. |
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6.M.3.4.2
Describe and extend patterns by using manipulatives and pictorial
representations. |
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6.M.3.4.3
Use mathematical models to show change in a real-world context. |
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6.M.3.4.4 Use appropriate vocabulary. (323.01.d) |
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Goal 3.5: Represent equations, inequalities and
functions in a variety of formats. |
No objectives at this grade level. |
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Goal 3.6: Apply functions to a variety of problems |
6.M.3.6.1 Use patterns
to represent and solve simple problems. |
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Standard 4: Concepts and Principles of
Geometry |
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Goal 4.1: Apply concepts of size, shape, and
spatial relationships. |
6.M.4.1.1
Describe relationships among types of one- and two- dimensional geometric
figures, using their defining properties. |
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6.M.4.1.2 Draw and measure various angles and shapes
using appropriate tools. |
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6.M.4.1.3
Apply fundamental concepts, properties, and relationships among points,
lines, rays, and angles. |
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6.M.4.1.4
Describe reflections, translations, and rotations on various shapes. |
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Mathematical
Movements (Flips, Slides and Turns) |
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6.M.4.1.5
Identify congruence, similarities, and line symmetry of shapes. |
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Symmetry
Game
Symmetry
Game for You and
a Partner
Activity
Shape Games
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6.M.4.1.6
Discuss the spatial relationship between two- and three-dimensional objects. |
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6.M.4.1.7
Use appropriate vocabulary and symbols. |
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Goal 4.2: Apply the geometry of right triangles. |
No objectives at this grade level. |
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Goal 4.3: Apply graphing in two dimensions. |
6.M.4.3.1
Identify and plot points in the first quadrant on a coordinate plane. |
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Standard 5: Data Analysis,
Probability, and Statistics |
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Goal 5.1: Understand data analysis. |
6.M.5.1.1
Read and interpret tables, charts, and graphs, including broken line graphs,
bar graphs, frequency tables, line plots, and circle graphs. |
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6.M.5.1.2
Explain and justify stated conclusions drawn from tables, charts, and graphs. |
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6.M.5.1.3
Use appropriate vocabulary and notations |
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Goal 5.2: Collect, organize, and display data. |
6.M.5.2.1 Collect, organize, and display
the data with appropriate notation in tables, charts, and graphs, including
broken line graphs, bar graphs, frequency tables and line plots. |
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Activity |
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Goal 5.3: Apply simple statistical measurements. |
6.M.5.3.1 Find measures of central
tendency – mean, median, and mode – with simple sets of data |
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Activity |
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6.M.5.3.2 Calculate the range of a set
of data |
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Goal 5.4: Understand basic concepts of
probability. |
6.M.5.4.1
Predict, perform, and record results of simple probability experiments. |
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6.M.5.4.2
Use the language of probability |
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Goal 5.5: Make predictions or decisions based on
data. |
6.M.5.5.1
Make predictions based on data |
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Spy
Guys Interactive - Probability Activity |