IXL Math - Missouri fifth-grade math standards

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Missouri

Skills available for Missouri fifth-grade math standards

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5.1 Number and Operations

5.1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems
5.1.1.A Read, write and compare numbers
5.1.1.A.1 read, write, compare and order unit fractions and decimals to thousandths
- Decimals: Understanding decimals expressed in words (Fifth grade - C.2)
- Decimals: Place values in decimal numbers (Fifth grade - C.3)
- Decimals: Decimal number lines (Fifth grade - C.6)
- Decimals: Compare decimal numbers (Fifth grade - C.7)
- Decimals: Put decimal numbers in order (Fifth grade - C.8)
- Decimals: Compare decimals and fractions (Fifth grade - C.11)
- Decimals: Put assorted decimals, fractions, and mixed numbers in order (Fifth grade - C.13)
- Add and subtract decimals: Inequalities with addition and subtraction (Fifth grade - E.5)
- Fractions and mixed numbers: Fractions review (Fifth grade - L.1)
- Fractions and mixed numbers: Compare fractions and mixed numbers (Fifth grade - L.6)
- Fractions and mixed numbers: Order fractions from least to greatest (Fifth grade - L.7)
- Add and subtract fractions: Inequalities with addition and subtraction of fractions (Fifth grade - M.10)
- Add and subtract fractions: Inequalities with addition and subtraction of mixed numbers (Fifth grade - M.16)
5.1.1.B Represent and use rational numbers
5.1.1.B.1 recognize and generate equivalent forms of commonly used fractions, decimals and percents
- Decimals: What decimal number is illustrated? (Fifth grade - C.1)
- Decimals: Equivalent decimals (Fifth grade - C.4)
- Decimals: Convert fractions to decimals (Fifth grade - C.9)
- Decimals: Convert decimals to fractions (Fifth grade - C.10)
- Decimals: Repeating decimals (Fifth grade - C.12)
- Fractions and mixed numbers: Equivalent fractions (Fifth grade - L.2)
- Fractions and mixed numbers: Reduce fractions to simplest form (Fifth grade - L.3)
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fifth grade - L.4)
- Fractions and mixed numbers: Least common denominator (Fifth grade - L.5)
- Ratios, proportions, and percents: Proportions (Fifth grade - U.5)
- Ratios, proportions, and percents: What percentage is illustrated? (Fifth grade - U.8)
- Ratios, proportions, and percents: Convert between percents, fractions, and decimals (Fifth grade - U.9)
- Ratios, proportions, and percents: Percent of a number (Fifth grade - U.10)
- Ratios, proportions, and percents: Percent of a number: word problems (Fifth grade - U.11)
5.1.1.C Compose and decompose numbers
5.1.1.C.1 recognize equivalent representations for the same number and generate them by decomposing and composing numbers
- Place value and number sense: Place values (Fifth grade - A.1)
5.1.1.D Classify and describe numeric relationships
5.1.1.D.1 describe numbers according to their characteristics, including whole number factors, prime or composite, odd or even and square numbers
- Place value and number sense: Even and odd arithmetic patterns (Fifth grade - A.7)
- Place value and number sense: Understanding integers (Fifth grade - A.8)
- Number theory: Prime and composite numbers (Fifth grade - K.1)
- Number theory: Prime factorization (Fifth grade - K.2)
- Number theory: Divisibility rules (Fifth grade - K.3)
- Number theory: Divisibility rules: word problems (Fifth grade - K.4)
- Number theory: Greatest common factor (Fifth grade - K.5)
- Number theory: Least common multiple (Fifth grade - K.6)
- Fractions and mixed numbers: Reciprocals (Fifth grade - L.11)
5.1.2 Understand meanings of operations and how they relate to one another
5.1.2.A Represent operations
5.1.2.A.1 represent and recognize division using various models, including quotative and partitive
- Ratios, proportions, and percents: Unit rates and equivalent rates (Fifth grade - U.6)
5.1.2.B Describe effects of operations
5.1.2.B.1 describe the effects of multiplying and dividing whole numbers as well as the relationship between the two operations
- Multiplication: Multiply by 1-digit numbers (Fifth grade - F.1)
- Multiplication: Multiply by 1-digit numbers: word problems (Fifth grade - F.2)
- Multiplication: Multiply numbers ending in zeroes (Fifth grade - F.4)
- Multiplication: Multiply numbers ending in zeroes: word problems (Fifth grade - F.5)
- Multiplication: Choose numbers with a particular product (Fifth grade - F.7)
- Multiplication: Estimate products (Fifth grade - F.8)
- Multiplication: Estimate products: word problems (Fifth grade - F.9)
- Multiplication: Multiply by 2-digit numbers: complete the missing steps (Fifth grade - F.10)
- Multiplication: Multiply a 2-digit number by a 2-digit number (Fifth grade - F.11)
- Multiplication: Multiply a 2-digit number by a larger number (Fifth grade - F.12)
- Multiplication: Multiply by 2-digit numbers: word problems (Fifth grade - F.13)
- Multiplication: Multiply three or more numbers up to 2 digits each (Fifth grade - F.14)
- Multiplication: Multiply by 3-digit numbers (Fifth grade - F.15)
- Multiplication: Multiply three numbers up to 3 digits each (Fifth grade - F.16)
- Multiplication: Multiply three or more numbers: word problems (Fifth grade - F.17)
- Multiplication: Inequalities with multiplication (Fifth grade - F.18)
- Division: Divide multi-digit numbers by 1-digit numbers (Fifth grade - H.3)
- Division: Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - H.4)
- Division: Divide by 1-digit numbers: interpret remainders (Fifth grade - H.5)
- Division: Choose numbers with a particular quotient (Fifth grade - H.14)
5.1.2.C Apply properties of operations
5.1.2.C.1 apply the distributive and associative properties to whole numbers
- Addition and subtraction: Properties of addition (Fifth grade - D.8)
- Multiplication: Properties of multiplication (Fifth grade - F.6)
- Algebra: Simplify expressions using order of operations and parentheses (Fifth grade - P.1)
5.1.3 Compute fluently and make reasonable estimates
5.1.3.A Describe or represent mental strategies
5.1.3.A.1 describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350 /7)
- Division: Divide numbers ending in zeroes (Fifth grade - H.8)
- Division: Divide numbers ending in zeroes: word problems (Fifth grade - H.9)
5.1.3.C Compute problems
5.1.3.C.1 apply and describe the strategy used to compute a given division problem up to a 3-digit by 2-digit
- Division: Division facts to 12 (Fifth grade - H.1)
- Division: Division facts to 12: word problems (Fifth grade - H.2)
- Division: Divide by 2-digit numbers (Fifth grade - H.10)
- Division: Divide by 2-digit numbers: word problems (Fifth grade - H.11)
- Division: Divide money amounts: word problems (Fifth grade - H.12)
5.1.3.D Estimate and justify solutions
5.1.3.D.1 estimate and justify the results of division of whole numbers
- Division: Estimate quotients: word problems (Fifth grade - H.6)
- Division: Estimate quotients (Fifth grade - H.13)

5.2 Algebraic Relationships

5.2.1 Understand patterns, relations, and functions
5.2.1.A Recognize and extend patterns
5.2.1.A.1 make and describe generalizations about geometric and numeric patterns
5.2.1.B Create and analyze patterns
5.2.1.B.1 represent and analyze patterns using words, tables and graphs
5.2.2 Represent and analyze mathematical situations and structures using algebraic symbols
5.2.2.A Represent mathematical situations
5.2.2.A.1 represent a mathematical situation as an expression or number sentence using a letter or symbol
5.2.2.B Describe and use mathematical manipulation
5.2.2.B.1 apply the distributive and associative properties to whole numbers
- Addition and subtraction: Properties of addition (Fifth grade - D.8)
- Algebra: Simplify expressions using order of operations and parentheses (Fifth grade - P.1)
5.2.3 Use mathematical models to represent and understand quantitative relationships
5.2.3.A Use mathematical models
5.2.3.A.1 model problem situations and draw conclusions, using representations such as graphs, tables or number sentence
5.2.4 Analyze change in various contexts
5.2.4.A Analyze change
5.2.4.A.1 identify, model and describe situations with constant or varying rates of change

5.3 Geometric and Spatial Relationships

5.3.1 Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
5.3.1.A Describe and use geometric relationships
5.3.1.A.1 analyze 2- and 3-dimensional shapes by describing the attributes
5.3.1.C Compose and decompose shapes
5.3.1.C.1 predict and justify the results of subdividing, combining and transforming shapes
- Geometry: Nets of 3-dimensional figures (Fifth grade - B.10)
5.3.2 Specify locations and describe spatial relationships using coordinate geometry and other representational systems
5.3.2.A Use coordinate systems
5.3.2.A.1 use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines
5.3.3 Apply transformations and use symmetry to analyze mathematical situations
5.3.3.A Use transformations on objects
5.3.3.A.1 predict, draw and describe the results of sliding/translating, flipping/reflecting and turning/rotating around a center point of a polygon
- Geometry: Reflection, rotation, and translation (Fifth grade - B.7)
- Geometry: Three-dimensional figures viewed from different perspectives (Fifth grade - B.23)
5.3.3.C Use symmetry
5.3.3.C.1 identify polygons and designs with rotational symmetry
- Geometry: Rotational symmetry (Fifth grade - B.25)
5.3.4 Use visualization, spatial reasoning and geometric modeling to solve problems
5.3.4.A Recognize and draw three-dimensional representations
5.3.4.A.1 given a net of a prism or cylinder, identify the 3-dimensional shape
- Geometry: Nets of 3-dimensional figures (Fifth grade - B.10)

5.4 Measurement

5.4.1 Understand measurable attributes of objects and the units, systems and processes of measurement
5.4.1.A Determine unit of measurement
5.4.1.A.1 identify and justify the unit of measure for area (customary and metric)
5.4.1.B Identify equivalent measures
5.4.1.B.1 identify the equivalent weights and equivalent capacities within a system of measurement
5.4.1.C Tell and use units of time
5.4.1.C.1 solve problems involving elapsed time (hours)
5.4.2 Apply appropriate techniques, tools and formulas to determine measurements
5.4.2.C Apply geometric measurements
5.4.2.C.1 describe how to solve problems involving the area of polygons and nonpolygonal regions imposed on a rectangular grid
5.4.2.E Use relationships within a measurement system
5.4.2.E.1 convert from one unit to another within a system of measurement (linear)
- Measurement: Compare and convert customary units (Fifth grade - V.3)
- Measurement: Add and subtract mixed customary units (Fifth grade - V.8)

5.5 Data and Probability

5.5.1 Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
5.5.1.A Formulate questions
5.5.1.A.1 evaluate data collection methods
5.5.1.C Represent and interpret data
5.5.1.C.1 describe methods to collect, organize and represent categorical and numerical data
5.5.2 Select and use appropriate statistical methods to analyze data
5.5.2.A Describe and analyze data
5.5.2.A.1 compare related data sets
5.5.2.B Compare data representations
5.5.2.B.1 compare different representations of the same data and evaluate how well each representation shows important aspects of the data
- Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
5.5.3 Develop and evaluate inferences and predictions that are based on data
5.5.3.A Develop and evaluate inferences
5.5.3.A.1 given a set of data make and justify prediction(s)
- Probability and statistics: Make predictions (Fifth grade - X.5)
5.5.4 Understand and apply basic concepts of probability
5.5.4.A Apply basic concepts of probability
5.5.4.A.1 describe the degree of likelihood of events using such words as certain, equally likely and impossible
- Probability and statistics: Calculate probability (Fifth grade - X.4)