Sixth+Grade+Math

Return to Math K-12 Sixth Grade Math

Focus Statement: Students will solve problems by using appropriate formulas, methods, and number sense.

Flip Chart with writing & ordering decimals (book) ||  || Flip Chart with adding & subtracting decimals (book) ||  || Flip Chart with multiplying by decimals by 10's (book) ||  || ||   || ||   || ||   || Data Dialogue Reflection #1 ||  || ||   || Flip Chart with algebraic expression & use variables ||  || Flip Chart on solving equations Flip Chart on estimating & solving equations (book) Flip Chart on estimating & solving equations Flip Chart on solving equations Flip Chart on solving equations (book) ||  || Data Dialogue Reflection #2 ||  || Data Dialogue Reflection #3 ||  || Data Dialogue Reflection #4 ||  || Data Dialogue Reflection #5 ||  || Data Dialogue Reflection #6 ||   || Data Dialogue Reflection #7 ||  || Data Dialogue Reflection #8 ||  || Data Dialogue Reflection #9 ||  || Data Dialogue Reflection #10 ||   || Data Dialogue Reflection #11 ||  || ||  || ||   || Data Dialogue Reflection #12 ||   ||
 * Month || High Achievement Outcome || “I Can” statement || Assessments || Resources ||  ||
 * Aug/Sep || ** M.6.1 Students will manipulate decimals in a variety of ways. ** || Read (say), write, compare, and order decimals using place value through thousandths in standard and word form. || FA 6.1.1 || Flip Chart with comparing & ordering decimals (book)
 * ^  ||^   || Add and subtract decimals transferring from sentence/horizontal form to vertical form and estimate answer. || FA 6.1.2 || Flip Chart for adding & subtracting decimals
 * ^  ||^   || Add and subtract decimals transferring from sentence/horizontal form to vertical form and estimate answer. || FA 6.1.2 || Flip Chart for adding & subtracting decimals
 * ^  ||^   || Add and subtract decimals transferring from sentence/horizontal form to vertical form and estimate answer. || FA 6.1.2 || Flip Chart for adding & subtracting decimals
 * ^  ||^   || Add and subtract decimals transferring from sentence/horizontal form to vertical form and estimate answer. || FA 6.1.2 || Flip Chart for adding & subtracting decimals
 * ^  ||^   || Estimate and multiply decimals. || FA 6.1.3 || Flip Chart with multiplying decimals (book)
 * ^  ||^   || Estimate and divide decimals by one- and two-digit whole numbers where quotient terminates or is rounded to a given place. || FA 6.1.4 || Flip Chart with dividing by decimals (book)
 * ^  ||^   || Apply order of operations (PEMDAS - parentheses, exponents, multiplication, division, addition, subtraction) using whole numbers or decimals in problem-solving situations. || FA 6.1.5 || Flip Chart with PEMDAS (book)
 * ^  ||^   || Estimate by rounding and using compatible numbers. || FA 6.1.6 || Flip Chart with Compatible numbers (book)
 * ^  ||^   || Use the properties of multiplication and addition (commutative, associative, and identity properties). || FA 6.1.7 ||   ||   ||
 * ||  ||   || ** SA 1 ** || Data Dialogue Rubric #1
 * Sep/Oct || ** M.6.2 Students will demonstrate that numbers are used in a variety of ways in different number systems. ** || Continue a geometric & number pattern and write the rule for it. || FA 6.2.1 || Flip Chart with number patterns (book)
 * ^  ||^   || Evaluate and write algebraic expressions and use variables. || FA 6.2.2 || Flip Chart with algebraic expression & use variables (book)
 * ^  ||^   || Solve equations by adding, subtracting, multiplying, and dividing. || FA 6.2.3 || Flip Chart on solving equations (book)
 * ^  ||^   || Use and simplify expressions with exponents. || FA 6.2.4 ||   ||   ||
 * ^  ||^   || Write whole numbers in expanded form with powers of ten. || FA 6.2.5 ||   ||   ||
 * ^  ||^   || Write large numbers using scientific notation. || FA 6.2.6 ||   ||   ||
 * ^  ||^   || Use the distributive property || FA 6.2.7 ||   ||   ||
 * ||  ||   || ** SA 2 ** || Data Dialogue Rubric #2
 * Nov/Dec || ** M.6.3 Students will apply number sense to fractions. ** || Identify and know characteristics of a perfect square number. || FA 6.3.1 ||  ||   ||
 * ^  ||^   || Apply the divisibility rules for 2, 3, 5, 6, 9, 10 when reducing fractions. || FA 6.3.2 ||   ||   ||
 * ^  ||^   || Write whole numbers using prime factorization in exponential form. Write whole numbers using prime factorization in exponential form. || FA 6.3.3 ||   ||   ||
 * ^  ||^   || Use Lowest Common Denominator to make equivalent fractions. || FA 6.3.4 ||   ||   ||
 * ^  ||^   || Apply Greatest Common Factor to reduce fractions to lowest terms. || FA 6.3.5 ||   ||   ||
 * ^  ||^   || Demonstrate equivalence of mixed numerals and improper fractions. || FA 6.3.6 ||   ||   ||
 * ^  ||^   || Find the LCM of two or more numbers. || FA 6.3.7 ||   ||   ||
 * ^  ||^   || Write decimals as fraction and fractions as decimals. || FA 6.3.8 ||   ||   ||
 * ||  ||   || ** SA 3 ** || Data Dialogue Rubric #3
 * Jan/Feb || ** M.6.4 Read, write, and order mixed fractions using a number line. ** || Add and subtract mixed numerals with unlike denominators using regrouping and write in lowest terms. || FA 6.4.1 ||  ||   ||
 * ^  ||^   || Solve equations with fractions. || FA 6.4.2 ||   ||   ||
 * ||  || Read, write, and order fractions using a number line. || FA 6.4.3 ||   ||   ||
 * ||  || Add and subtract measures of time. || FA 6.4.4 ||   ||   ||
 * ||  ||   || ** SA 4 ** || Data Dialogue Rubric #4
 * April/May || ** M.6.5 Students will show the relationships among decimals, percents, ratios, proportions, and fractions. ** || Read and write a ratio. || FA 6.5.1 ||  ||   ||
 * ^  ||^   || Find and use unit rate. || FA 6.5.2 ||   ||   ||
 * ^  ||^   || Complete, identify, and solve proportions. || FA 6.5.3 ||   ||   ||
 * ^  ||^   || Find a scale of a drawing and find the actual dimensions. || FA 6.5.4 ||   ||   ||
 * ^  ||^   || Demonstrate equivalence of commonly used fractions, decimals, and percents. || FA 6.5.5 ||   ||   ||
 * ^  ||^   || Use proportions and decimals with percents. || FA 6.5.6 ||   ||   ||
 * ||  ||   || ** SA 5 ** || Data Dialogue Rubric #5
 * Feb/March || ** M.6.6 Students will use graphs and data to represent real-world situations. ** || Find and use measures of central tendencies (including mean, median, mode) and range from a given set of data. || FA 6.6.1 ||  ||   ||
 * ^  ||^   || Read, interpret, and draw conclusions from a line graph, bar graph, circle graph, frequency table, line plot, and stem and leaf plot. || FA 6.6.2 ||   ||   ||
 * ^  ||^   || Organize and construct a line graph, bar graph, frequency table, and line plot from a given set of data. || FA 6.6.3 ||   ||   ||
 * ^  ||^   || Construct a circle graph with numbers and percents from a given set of data. || FA 6.6.4 ||   ||   ||
 * ^  ||^   || Read data in a spreadsheet and write formulas for a spreadsheet. || FA 6.6.5 ||   ||   ||
 * ^  ||^   || Identify misleading or biased data in displays or samplings and identify outliers and explain their effect. || FA 6.6.6 ||   ||   ||
 * ^  ||^   || (Scatter plot) Construct scatter plots and identify trends on a scatter plot. || FA 6.6.7 ||   ||   ||
 * ||  ||   || ** SA 6 ** || Data Dialogue Rubric #6
 * March/April || ** M.6.7 Students will demonstrate geometric concepts, properties, and relationships between a variety of regular and irregular figures. ** || Name points, lines, segments, and rays. || FA 6.7.1 ||  ||   ||
 * ^  ||^   || Identify parallel, intersecting, and skew lines. || FA 6.7.2 ||   ||   ||
 * ^  ||^   || Use a protractor to measure, construct, and classify an angle up to 180˚, and estimate and measure given angles. || FA 6.7.3 ||   ||   ||
 * ^  ||^   || Describe, measure, and draw complementary and supplementary angles and describe the relationship between them. || FA 6.7.4 ||   ||   ||
 * ^  ||^   || Classify triangles according to both angles and sides by using actual angle measurements. || FA 6.7.5 ||   ||   ||
 * ^  ||^   || Name and classify regular and irregular polygons with 6 to 10 sides. || FA 6.7.6 ||   ||   ||
 * ^  ||^   || Classify quadrilaterals (trapezoid, parallelogram, rectangle, rhombus, square). || FA 6.7.7 ||   ||   ||
 * ^  ||^   || Identify congruent and similar figures || FA 6.7.8 ||   ||   ||
 * ^  ||^   || Find lines of symmetry, identify and draw translations, reflections, and rotations. || FA 6.7.9 ||   ||   ||
 * ||  ||   || ** SA 7 ** || Data Dialogue Rubric #7
 * March/April || ** M.6.8 Students will solve geometric problems by applying the appropriate formulas for perimeter, area, and circumference showing all steps involved. ** || Apply formulas from memory to compute perimeter of squares, rectangles, triangles, parallelograms, and rhombus. (4s, 2l + 2w, 3s, 2s + s, s + s + s) || FA 6.8.1 ||  ||   ||
 * ^  ||^   || Apply formulas from memory to compute area of squares, rectangles, parallelograms, and triangles. (A = bh, A = ½bh) (Find the missing length of a side of regular and irregular figures.) || FA 6.8.2 ||   ||   ||
 * ^  ||^   || Estimate the area of a polygon given on grid paper. || FA 6.8.3 ||   ||   ||
 * ^  ||^   || Demonstrate how changing one of the dimensions of a rectangle or triangle affects its perimeter and area using concrete materials on graph papers. || FA 6.8.4 ||   ||   ||
 * ^  ||^   || Describe the properties of circles including radius, diameter, and chord, and semicircle. || FA 6.8.5 ||   ||   ||
 * ^  ||^   || Apply formula to compute circumference of a circle using 3.14 and 22/7 for pi. || FA 6.8.6 ||   ||   ||
 * ^  ||^   || Apply formula to area of a circle using 3.14 and 22/7 for pi. || FA 6.8.7 ||   ||   ||
 * ^  ||^   || Identify three dimensional figures (pyramid, cylinder, cone, sphere, prism, cube). || FA 6.8.8 ||   ||   ||
 * ^  ||^   || Find the surface area of a prism and a cylinder. || FA 6.8.9 ||   ||   ||
 * ^  ||^   || Estimate and calculate volume of rectangular prisms by measuring the side or using given measures. || FA 6.8.10 ||   ||   ||
 * ||  ||   || ** SA 8 ** || Data Dialogue Rubric #8
 * March/April || ** M.6.9 Students will multiply and divide mixed numerals to solve problems. ** || Multiply mixed numerals by mixed numerals, fractions, and whole numbers. || FA 6.9.1 ||  ||   ||
 * ^  ||^   || Divide a mixed fraction by simple fractions, whole numbers, and mixed fractions and write remainder compute as a fraction when appropriate. || FA 6.9.2 ||   ||   ||
 * ^  ||^   || Solve fraction equations. || FA 6.9.3 ||   ||   ||
 * ^  ||^   || Estimate and use standard and metric for length weight and temperature. || FA 6.9.4 ||   ||   ||
 * ^  ||^   || Chose appropriate units for mass, capacity, and measurement. || FA 6.9.5 ||   ||   ||
 * ^  ||^   || Measure and convert length using metric units millimeter, centimeter, meter, and kilometer. || FA 6.9.6 ||   ||   ||
 * ^  ||^   || Change units of measurement and compute with units. || FA6.9.7 ||   ||   ||
 * ||  ||   || ** SA 9 ** || Data Dialogue Rubric #9
 * May || ** M.6.10 Students will demonstrate selected properties of integers. ** || Arrange, compare, and order integers on a number line || FA 6.10.1 ||  ||   ||
 * ^  ||^   || Demonstrate absolute value and that integers and their opposites add up to zero || FA 6.10.2 ||   ||   ||
 * ^  ||^   || Add, subtract, multiply, and divide integers with the same and different signs || FA 6.10.3 ||   ||   ||
 * ^  ||^   || Use a coordinate graph to plot and identify ordered pairs in all four quadrants. || FA 6.10.4 ||   ||   ||
 * ^  ||^   || Draw and label a coordinate graph to illustrate the following terms: origin, x-axis, y-axis, four quadrants. || FA 6.10.5 ||   ||   ||
 * ^  ||^   || Identify congruent shapes using reflections, rotations, and translations. || FA 6.10.6 ||   ||   ||
 * ^  ||^   || Graph a linear equation using positive integers. || FA 6.10.7 ||   ||   ||
 * ||  ||   || ** SA 10 ** || Data Dialogue Rubric #10
 * March/May || ** M.6.11 Students will determine the number of outcomes and predict probability using problem-solving experiments. ** || Apply probability terms such as event, outcome, trials, and sample Space and assign 0% to an impossible event and 100% to a certain event. || FA 6.11.1 ||  ||   ||
 * ^  ||^   || Perform experiments of independent compound events to estimate probability. || FA 6.11.2 ||   ||   ||
 * ^  ||^   || Predict the probability of independent compound events, such as tossing two coins or determining the gender of two children in a family, and conduct an experiment or simulation to determine the probability. || FA 6.11.3 ||   ||   ||
 * ^  ||^   || Determine the number of outcomes of independent compound events, such as the sum of tossing two number cubes by making a list or tree diagram. || FA 6.11.4 ||   ||   ||
 * ||  ||   || ** SA 11 ** || Data Dialogue Rubric #11
 * Throughout Aug-May || ** M.6.12 Students will problem solve using a variety of different methods. ** || Use a plan to problem solve || FA 6.12.1 || Flip Chart Problem Solving
 * ^  ||^   || Solve problems by making a table to find a pattern || FA 6.12.2 || Flip Chart making a table to find a pattern (book)
 * ^  ||^   || Trying, checking, and revising || FA 6.12.3 ||   ||   ||
 * ^  ||^   || Drawing a diagram || FA 6.12.4 ||   ||   ||
 * ^  ||^   || Writing an equation || FA 6.12.5 ||   ||   ||
 * ^  ||^   || Making an organized list || FA 6.12.6 ||   ||   ||
 * ^  ||^   || Logical reasoning || FA 6.12.7 ||   ||   ||
 * ^  ||^   || Working backwards || FA 6.12.8 ||   ||   ||
 * ^  ||^   || Solving a simpler problem || FA 6.12.9 ||   ||   ||
 * ^  ||^   || Simulation || FA 6.12.10 ||   ||   ||
 * ||  ||   || ** SA 12 ** || Data Dialogue Rubric #12

Sixth grade will use the problem solving strategies of: diagram, use logical reasoning, and write a formula in addition to previous problem solving strategies throughout all outcomes.

Resources Books:

Links: Flip Chart for whole numbers

**Math Links:** Math resources for grades Pre-K thru 12 or by mathematical area (number and operations, algebra, geometry, measurement, data analysis and probability) http://nlvm.usu.edu/ Other:

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