#### Innovative lessons for key K-8 math concepts and skills

Mathematics Grade and Course Level Expectations provide a framework to bring focus to teaching, learning, and assessing mathematics. The Grade Level Expectations (GLEs) in grades K-8 specify mathematical content that students need to understand deeply and thoroughly for future mathematics learning with an emphasis rigorous, coherent, and focused standards based mathematics curriculum that continually improves classroom instruction. DreamBox is designed to support those goals, and make it easy to track progress and create personalized assignments aligned with specific Missouri standards from the Insight Dashboard.

#### Lessons by Standards

Region | Standard | Description | Level |
---|---|---|---|

Missouri | A1.CED.A.2 | Create and graph linear, quadratic and exponential equations in two variables. | Algebra |

Missouri | A1.DS.A.5 | Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship. | Algebra |

Missouri | A1.IF.A.2 | Use function notation to evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. | Algebra |

Missouri | A1.IF.B.3 | Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities. | Algebra |

Missouri | A1.IF.C.7 | Graph functions expressed symbolically and identify and interpret key features of the graph. | Algebra |

Missouri | A1.LQE.A.3 | Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables. | Algebra |

Missouri | A1.SSE.A.2 | Analyze the structure of polynomials to create equivalent expressions or equations. | Algebra |

Missouri | A1.SSE.A.3 | Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties. | Algebra |

Missouri | A2.APR.A.5 | Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial. | Algebra |

Missouri | 1.DS.A.1 | Collect, organize and represent data with up to three categories. | Grade 1 |

Missouri | 1.DS.A.2 | Draw conclusions from object graphs, picture graphs, T-charts and tallies. | Grade 1 |

Missouri | 1.GM.C.8 | Tell and write time in hours and half-hours using analog and digital clocks. | Grade 1 |

Missouri | 1.NBT.A.1 | Understand that 10 can be thought of as a bundle of 10 ones called a ten. | Grade 1 |

Missouri | 1.NBT.A.2 | Understand two-digit numbers are composed of ten (s) and ones (s). | Grade 1 |

Missouri | 1.NBT.A.3 | Compare two two-digit numbers using the symbols >, = or <. | Grade 1 |

Missouri | 1.NBT.B.5 | Add within 100. | Grade 1 |

Missouri | 1.NBT.B.6 | Calculate 10 more or 10 less than a given number mentally without having to count. | Grade 1 |

Missouri | 1.NBT.B.7 | Add or subtract a multiple of 10 from another two-digit number, and justify the solution. | Grade 1 |

Missouri | 1.NS.A.1 | Count to 120, starting at any number less than 120. | Grade 1 |

Missouri | 1.NS.A.2 | Read and write numerals and represent a number of objects with a written numeral. | Grade 1 |

Missouri | 1.RA.A.3 | Develop the meaning of the equal sign and determine if equations involving addition and subtraction are true or false. | Grade 1 |

Missouri | 1.RA.A.4 | Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. | Grade 1 |

Missouri | 1.RA.B.5 | Use properties as strategies to add and subtract. | Grade 1 |

Missouri | 1.RA.B.6 | Demonstrate that subtraction can be solved as an unknown-addend problem. | Grade 1 |

Missouri | 1.RA.C.7 | Add and subtract within 20. | Grade 1 |

Missouri | 1.RA.C.8 | Demonstrate fluency with addition and subtraction within 10. | Grade 1 |

Missouri | 2.DS.A.1 | Create a line plot to represent a set of numeric data, given a horizontal scale marked in whole numbers. | Grade 2 |

Missouri | 2.DS.A.2 | Generate measurement data to the nearest whole unit, and display the data in a line plot. | Grade 2 |

Missouri | 2.DS.A.3 | Draw a picture graph or a bar graph to represent a data set with up to four categories. | Grade 2 |

Missouri | 2.DS.A.4 | Solve problems using information presented in line plots, picture graphs and bar graphs. | Grade 2 |

Missouri | 2.DS.A.5 | Draw conclusions from line plots, picture graphs and bar graphs. | Grade 2 |

Missouri | 2.GM.A.1 | Recognize and draw shapes having specified attributes, such as a given number of angles or sides. | Grade 2 |

Missouri | 2.GM.D.10 | Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. | Grade 2 |

Missouri | 2.NBT.A.1 | Understand three-digit numbers are composed of hundreds, tens and ones. | Grade 2 |

Missouri | 2.NBT.A.2 | Understand that 100 can be thought of as 10 tens called a hundred. | Grade 2 |

Missouri | 2.NBT.A.3 | Count within 1000 by 1s, 10s and 100s starting with any number. | Grade 2 |

Missouri | 2.NBT.A.4 | Read and write numbers to 1000 using number names, base-ten numerals and expanded form. | Grade 2 |

Missouri | 2.NBT.A.5 | Compare two three-digit numbers using the symbols >, = or <. | Grade 2 |

Missouri | 2.NBT.B.10 | Add or subtract mentally 10 or 100 to or from a given number within 1000. | Grade 2 |

Missouri | 2.NBT.B.6 | Demonstrate fluency with addition and subtraction within 100. | Grade 2 |

Missouri | 2.NBT.B.7 | Add up to four two-digit numbers. | Grade 2 |

Missouri | 2.NBT.B.8 | Add or subtract within 1000, and justify the solution. | Grade 2 |

Missouri | 2.NBT.B.9 | Use the relationship between addition and subtraction to solve problems. | Grade 2 |

Missouri | 2.NBT.C.11 | Write and solve problems involving addition and subtraction within 100. | Grade 2 |

Missouri | 2.RA.A.1 | Demonstrate fluency with addition and subtraction within 20. | Grade 2 |

Missouri | 3.DS.A.1 | Create frequency tables, scaled picture graphs and bar graphs to represent a data set with several categories. | Grade 3 |

Missouri | 3.DS.A.2 | Solve one- and two-step problems using information presented in bar and/or picture graphs. | Grade 3 |

Missouri | 3.DS.A.3 | Create a line plot to represent data. | Grade 3 |

Missouri | 3.DS.A.4 | Use data shown in a line plot to answer questions. | Grade 3 |

Missouri | 3.GM.A.1 | Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. | Grade 3 |

Missouri | 3.GM.A.2 | Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories. | Grade 3 |

Missouri | 3.GM.B.4 | Tell and write time to the nearest minute. | Grade 3 |

Missouri | 3.GM.B.5 | Estimate time intervals in minutes. | Grade 3 |

Missouri | 3.GM.B.6 | Solve problems involving addition and subtraction of minutes. | Grade 3 |

Missouri | 3.GM.C.10 | Label area measurements with squared units. | Grade 3 |

Missouri | 3.GM.C.11 | Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value. | Grade 3 |

Missouri | 3.GM.C.12 | Multiply whole-number side lengths to solve problems involving the area of rectangles. | Grade 3 |

Missouri | 3.GM.C.13 | Find rectangular arrangements that can be formed for a given area. | Grade 3 |

Missouri | 3.GM.C.14 | Decompose a rectangle into smaller rectangles to find the area of the original rectangle. | Grade 3 |

Missouri | 3.GM.C.9 | Calculate area by using unit squares to cover a plane figure with no gaps or overlaps. | Grade 3 |

Missouri | 3.NBT.A.1 | Round whole numbers to the nearest 10 or 100. | Grade 3 |

Missouri | 3.NBT.A.3 | Demonstrate fluency with addition and subtraction within 1000. | Grade 3 |

Missouri | 3.NBT.A.4 | Multiply whole numbers by multiples of 10 in the range 10-90. | Grade 3 |

Missouri | 3.NF.A.1 | Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts. | Grade 3 |

Missouri | 3.NF.A.2 | Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole. | Grade 3 |

Missouri | 3.NF.A.3 | Represent fractions on a number line. | Grade 3 |

Missouri | 3.NF.A.4 | Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line. | Grade 3 |

Missouri | 3.NF.A.5 | Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent. | Grade 3 |

Missouri | 3.NF.A.6 | Compare two fractions with the same numerator or denominator using the symbols >, = or | Grade 3 |

Missouri | 3.NF.A.7 | Explain why fraction comparisons are only valid when the two fractions refer to the same whole. | Grade 3 |

Missouri | 3.RA.A.1 | Interpret products of whole numbers. | Grade 3 |

Missouri | 3.RA.A.2 | Interpret quotients of whole numbers. | Grade 3 |

Missouri | 3.RA.A.3 | Describe in words or drawings a problem that illustrates a multiplication or division situation. | Grade 3 |

Missouri | 3.RA.A.4 | Use multiplication and division within 100 to solve problems. | Grade 3 |

Missouri | 3.RA.A.5 | Determine the unknown number in a multiplication or division equation relating three whole numbers. | Grade 3 |

Missouri | 3.RA.B.6 | Apply properties of operations as strategies to multiply and divide. | Grade 3 |

Missouri | 3.RA.C.7 | Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers. | Grade 3 |

Missouri | 3.RA.C.8 | Demonstrate fluency with products within 100. | Grade 3 |

Missouri | 4.DS.A.1 | Create a frequency table and/or line plot to display measurement data. | Grade 4 |

Missouri | 4.DS.A.2 | Solve problems involving addition and subtraction by using information presented in a data display. | Grade 4 |

Missouri | 4.GM.A.1 | Draw and identify points, lines, line segments, rays, angles, perpendicular lines and parallel lines. | Grade 4 |

Missouri | 4.GM.A.2 | Classify two-dimensional shapes by their sides and/or angles. | Grade 4 |

Missouri | 4.GM.B.4 | Identify and estimate angles and their measure. | Grade 4 |

Missouri | 4.GM.B.5 | Draw and measure angles in whole-number degrees using a protractor. | Grade 4 |

Missouri | 4.GM.C.6 | Know relative sizes of measurement units within one system of units. | Grade 4 |

Missouri | 4.GM.C.7 | Use the four operations to solve problems involving distances, intervals of time, liquid volume, weight of objects and money. | Grade 4 |

Missouri | 4.NBT.A.1 | Round multi-digit whole numbers to any place. | Grade 4 |

Missouri | 4.NBT.A.2 | Read, write and identify multi-digit whole numbers up to one million using number names, base ten numerals and expanded form. | Grade 4 |

Missouri | 4.NBT.A.3 | Compare two multi-digit numbers using the symbols >, = or | Grade 4 |

Missouri | 4.NBT.A.4 | Understand that in a multi-digit whole number, a digit represents 10 times what it would represents in the place to its right. | Grade 4 |

Missouri | 4.NBT.A.5 | Demonstrate fluency with addition and subtraction of whole numbers. | Grade 4 |

Missouri | 4.NBT.A.6 | Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers, and justify the solution. | Grade 4 |

Missouri | 4.NBT.A.7 | Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, and justify the solution. | Grade 4 |

Missouri | 4.NF.A.1 | Explain and/or illustrate why two fractions are equivalent. | Grade 4 |

Missouri | 4.NF.A.2 | Recognize and generate equivalent fractions. | Grade 4 |

Missouri | 4.NF.A.3 | Compare two fractions using the symbols >, = or | Grade 4 |

Missouri | 4.NF.B.4 | Understand addition and subtraction of fractions as joining/composing and separating/decomposing parts referring to the same whole. | Grade 4 |

Missouri | 4.NF.B.5 | Decompose a fraction into a sum of fractions with the same denominator and record each decomposition with an equation and justification. | Grade 4 |

Missouri | 4.NF.B.6 | Solve problems involving adding and subtracting fractions and mixed numbers with like denominators. | Grade 4 |

Missouri | 4.NF.B.7 | Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. | Grade 4 |

Missouri | 4.NF.B.8 | Solve problems involving multiplication of a fraction by a whole number. | Grade 4 |

Missouri | 4.NF.C.12 | Compare two decimals to the hundredths place using the symbols >, = or | Grade 4 |

Missouri | 4.NF.C.9 | Use decimal notation for fractions with denominators of 10 or 100. | Grade 4 |

Missouri | 4.RA.A.1 | Multiply or divide to solve problems involving a multiplicative comparison. | Grade 4 |

Missouri | 4.RA.B.4 | Recognize that a whole number is a multiple of each of its factors and find the multiples for a given whole number. | Grade 4 |

Missouri | 4.RA.B.5 | Determine if a whole number within 100 is composite or prime, and find all factor pairs for whole numbers within 100. | Grade 4 |

Missouri | 4.RA.C.6 | Generate a number pattern that follows a given rule. | Grade 4 |

Missouri | 4.RA.C.7 | Use words or mathematical symbols to express a rule for a given pattern. | Grade 4 |

Missouri | 5.DS.A.2 | Create a line plot to represent a given or generated data set, and analyze the data to answer questions and solve problems, recognizing the outliers and generating the median. | Grade 5 |

Missouri | 5.GM.A.1 | Understand that attributes belonging to a category of figures also belong to all subcategories. | Grade 5 |

Missouri | 5.GM.A.2 | Classify figures in a hierarchy based on properties. | Grade 5 |

Missouri | 5.GM.C.6 | Define a first quadrant Cartesian coordinate system. | Grade 5 |

Missouri | 5.GM.C.7 | Plot and interpret points in the first quadrant of the Cartesian coordinate plane. | Grade 5 |

Missouri | 5.NBT.A.1 | Read, write and identify numbers from billions to thousandths using number names, base ten numerals and expanded form. | Grade 5 |

Missouri | 5.NBT.A.2 | Compare two numbers from billions to thousandths using the symbols >, = or | Grade 5 |

Missouri | 5.NBT.A.3 | Understand that in a multi-digit number, a digit represents 1/10 times what it would represents in the place to its left. | Grade 5 |

Missouri | 5.NBT.A.4 | Evaluate the value of powers of 10 and understand the relationship to the place value system. | Grade 5 |

Missouri | 5.NBT.A.5 | Round numbers from billions to thousandths place. | Grade 5 |

Missouri | 5.NBT.A.6 | Add and subtract multi-digit whole numbers and decimals to the thousandths place, and justify the solution. | Grade 5 |

Missouri | 5.NBT.A.7 | Multiply multi-digit whole numbers and decimals to the hundredths place, and justify the solution. | Grade 5 |

Missouri | 5.NBT.A.8 | Divide multi-digit whole numbers and decimals to the hundredths place using up to two-digit divisors and four-digit dividends, and justify the solution. | Grade 5 |

Missouri | 5.NF.A.2 | Convert decimals to fractions and fractions to decimals. | Grade 5 |

Missouri | 5.NF.A.3 | Compare and order fractions and/or decimals to the thousandths place using the symbols >, = or | Grade 5 |

Missouri | 5.NF.B.5 | Justify the reasonableness of a product when multiplying with fractions. | Grade 5 |

Missouri | 5.NF.B.6 | Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution. | Grade 5 |

Missouri | 5.NF.B.7 | Extend the concept of multiplication to multiply a fraction or whole number by a fraction. | Grade 5 |

Missouri | 5.NF.B.8 | Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations. | Grade 5 |

Missouri | 5.RA.A.1 | Investigate the relationship between two numeric patterns. | Grade 5 |

Missouri | 5.RA.A.2 | Write a rule to describe or explain a given numeric pattern. | Grade 5 |

Missouri | 5.RA.B.3 | Write, evaluate and interpret numeric expressions using the order of operations. | Grade 5 |

Missouri | 5.RA.C.5 | Solve and justify multi-step problems involving variables, whole numbers, fractions and decimals. | Grade 5 |

Missouri | 6.EEI.A.2 | Create and evaluate expressions involving variables and whole number exponents. | Grade 6 |

Missouri | 6.EEI.A.3 | Identify and generate equivalent algebraic expressions using mathematical properties. | Grade 6 |

Missouri | 6.EEI.B.4 | Use substitution to determine whether a given number in a specified set makes a one-variable equation or inequality true. | Grade 6 |

Missouri | 6.EEI.B.5 | Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true. | Grade 6 |

Missouri | 6.EEI.B.7 | Solve one-step linear equations in one variable involving non-negative rational numbers. | Grade 6 |

Missouri | 6.EEI.B.8 | Recognize that inequalities may have infinitely many solutions. | Grade 6 |

Missouri | 6.GM.A.3 | Solve problems by graphing points in all four quadrants of the Cartesian coordinate plane. | Grade 6 |

Missouri | 6.NS.A.1 | Compute and interpret quotients of positive fractions. | Grade 6 |

Missouri | 6.NS.B.2 | Demonstrate fluency with division of multi-digit whole numbers. | Grade 6 |

Missouri | 6.NS.B.3 | Demonstrate fluency with addition, subtraction, multiplication and division of decimals. | Grade 6 |

Missouri | 6.NS.C.5 | Use positive and negative numbers to represent quantities. | Grade 6 |

Missouri | 6.NS.C.6 | Locate a rational number as a point on the number line. | Grade 6 |

Missouri | 6.NS.C.7 | Understand that the absolute value of a rational number is its distance from 0 on the number line. | Grade 6 |

Missouri | 6.RP.A.1 | Understand a ratio as a comparison of two quantities and represent these comparisons. | Grade 6 |

Missouri | 6.RP.A.2 | Understand the concept of a unit rate associated with a ratio, and describe the meaning of unit rate. | Grade 6 |

Missouri | 6.RP.A.3 | Solve problems involving ratios and rates. | Grade 6 |

Missouri | 7.EEI.A.1 | Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients. | Grade 7 |

Missouri | 7.EEI.B.3 | Solve multi-step problems posed with rational numbers. | Grade 7 |

Missouri | 7.GM.A.1 | Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale. | Grade 7 |

Missouri | 7.GM.A.2 | Use a variety of tools to construct geometric shapes. | Grade 7 |

Missouri | 7.GM.B.5 | Use angle properties to write and solve equations for an unknown angle. | Grade 7 |

Missouri | 7.NS.A.1 | Apply and extend previous understandings of numbers to add and subtract rational numbers. | Grade 7 |

Missouri | 7.NS.A.2 | Apply and extend previous understandings of numbers to multiply and divide rational numbers. | Grade 7 |

Missouri | 7.NS.A.3 | Solve problems involving the four arithmetic operations with rational numbers. | Grade 7 |

Missouri | 7.RP.A.1 | Compute unit rates, including those that involve complex fractions, with like or different units. | Grade 7 |

Missouri | 7.RP.A.2 | Recognize and represent proportional relationships between quantities. | Grade 7 |

Missouri | 7.RP.A.3 | Solve problems involving ratios, rates, percentages and proportional relationships. | Grade 7 |

Missouri | 8.DSP.A.1 | Construct and interpret scatter plots of bivariate measurement data to investigate patterns of association between two quantities. | Grade 8 |

Missouri | 8.DSP.A.2 | Generate and use a trend line for bivariate data, and informally assess the fit of the line. | Grade 8 |

Missouri | 8.EEI.A.3 | Express very large and very small quantities in scientific notation and approximate how many times larger one is than the other. | Grade 8 |

Missouri | 8.EEI.A.4 | Use scientific notation to solve problems. | Grade 8 |

Missouri | 8.EEI.B.5 | Graph proportional relationships. | Grade 8 |

Missouri | 8.EEI.B.6 | Apply concepts of slope and y-intercept to graphs, equations and proportional relationships. | Grade 8 |

Missouri | 8.EEI.C.7 | Solve linear equations and inequalities in one variable. | Grade 8 |

Missouri | 8.EEI.C.8 | Analyze and solve systems of linear equations. | Grade 8 |

Missouri | 8.F.A.1 | Explore the concept of functions. (The use of function notation is not required.) | Grade 8 |

Missouri | 8.F.A.2 | Compare characteristics of two functions each represented in a different way. | Grade 8 |

Missouri | 8.F.A.3 | Investigate the differences between linear and nonlinear functions. | Grade 8 |

Missouri | 8.F.B.4 | Use functions to model linear relationships between quantities. | Grade 8 |

Missouri | 8.F.B.5 | Describe the functional relationship between two quantities from a graph or a verbal description. | Grade 8 |

Missouri | 8.GM.A.1 | Verify experimentally the congruence properties of rigid transformations. | Grade 8 |

Missouri | 8.GM.A.2 | Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the pre-image to the image. | Grade 8 |

Missouri | 8.GM.A.4 | Understand that two-dimensional figures are similar if a series of transformations (rotations, reflections, translations and dilations) can be performed to map the pre-image to the image. | Grade 8 |

Missouri | 8.GM.B.7 | Use the Pythagorean Theorem to determine unknown side lengths in right triangles in problems in two- and three-dimensional contexts. | Grade 8 |

Missouri | 8.GM.B.8 | Use the Pythagorean Theorem to find the distance between points in a Cartesian coordinate system. | Grade 8 |

Missouri | K.NBT.A.1 | Compose and decompose numbers from 11 to 19 into sets of tens with additional ones. | Kindergarten |

Missouri | K.NS.A.1 | Count to 100 by ones and tens. | Kindergarten |

Missouri | K.NS.A.2 | Count forward beginning from a given number between 1 and 20. | Kindergarten |

Missouri | K.NS.A.4 | Read and write numerals and represent a number of objects from 0 to 20. | Kindergarten |

Missouri | K.NS.B.5 | Say the number names when counting objects, in the standard order, pairing each object with one and only one number name and each number name with one and only one object. | Kindergarten |

Missouri | K.NS.B.6 | Demonstrate that the last number name said tells the number of objects counted and the number of objects is the same regardless of their arrangement or the order in which they were counted. | Kindergarten |

Missouri | K.NS.B.7 | Demonstrate that each successive number name refers to a quantity that is one larger than the previous number. | Kindergarten |

Missouri | K.NS.B.9 | Demonstrate that a number can be used to represent how many are in a set. | Kindergarten |

Missouri | K.NS.C.10 | Compare two or more sets of objects and identify which set is equal to, more than or less than the other. | Kindergarten |

Missouri | K.NS.C.11 | Compare two numerals, between 1 and 10, and determine which is more than or less than the other. | Kindergarten |

Missouri | K.RA.A.1 | Represent addition and subtraction within 10. | Kindergarten |

Missouri | K.RA.A.2 | Demonstrate fluency for addition and subtraction within 5. | Kindergarten |

Missouri | K.RA.A.3 | Decompose numbers less than or equal to 10 in more than one way. | Kindergarten |

Missouri | K.RA.A.4 | Make 10 for any number from 1 to 9. | Kindergarten |