IXL Math - Hawaii fifth-grade math standards

$HI Flag$

Hawaii

Skills available for Hawaii fifth-grade math standards

Standards are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.

Printable version

5.NO Numbers and Operations

5.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems
5 Numbers and Number Systems
5.1.1 Represent percent and ratio using pictures or objects
- Ratios, proportions, and percents: Determine the ratio (Fifth grade - U.1)
- Ratios, proportions, and percents: What percentage is illustrated? (Fifth grade - U.8)
5.1.2 Use equivalent forms of whole numbers, fractions, ratios, decimals, and percents to solve problems
5.1.3 Use models, benchmarks, and equivalent forms to judge the size of fractions and order them
5.2 Understand the meaning of operations and how they relate to each other
5 Operations
5.2.1 Apply the inverse relationship between addition and subtraction, and multiplication and division, to solve problems
- Division: Properties of division (Fourth grade - E.3)
5.2.2 Describe situations involving multiplication and division of fractions and decimals
5.3 Use computational tools and strategies fluently and, when appropriate, use estimation
5 Computational Fluency
5.3.1 Multiply decimals up to 3 places and divide decimals by whole numbers
5.3.2 Use a variety of strategies to multiply and divide fractions

5.MEA Measurement

5.4 Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring
5 Measurement Attributes and Units
5.4.1 Convert simple units within a system of measurement (e.g., millimeters to centimeters, feet to yard, quarts to gallons, gram to kilogram, minutes to hours, days to weeks)
5.4.2 Select and apply appropriate customary and metric units and tools to measure angles
- Geometry: Measure angles with a protractor (Fifth grade - B.12)
5 Measurement Tools and Techniques
5.4.3 Use map scales to measure the distance between locations and make simple scale drawings
- Coordinate graphs: Location and relative coordinates on maps (Fifth grade - Q.3)
- Ratios, proportions, and percents: Scale drawings (Fifth grade - U.7)
5.4.4 Estimate and measure the size of an angle
- Geometry: Measure angles with a protractor (Fifth grade - B.12)
5 Measurement Formulas
5.4.5 Use known measurements (e.g., base and height) to calculate desired measurements (e.g., area) of triangles, parallelograms, and trapezoids
- Geometry: Area of triangles (Fifth grade - B.16)
- Geometry: Area of parallelograms and trapezoids (Fifth grade - B.17)
5.4.6 Use known measurements (e.g., length, width, and height) to calculate desired measurements (e.g., surface area and volume) of rectangular solids
- Geometry: Volume (Fifth grade - B.21)
- Geometry: Surface area (Fifth grade - B.22)

5.GEO Geometry and Spatial Sense

5.5 Analyze properties of objects and relationships among the properties
5 Geometric Shapes and Their Properties and Relationships
5.5.1 Describe the properties that define classifications of three-dimensional shapes (e.g., cylinders have two bases that are circles)
5.5.2 Apply the understanding that the sum of the measures of the angles in any triangle is 180°
- Geometry: Find the unknown angle in triangles and quadrilaterals (Fifth grade - B.29)
5.5.3 Classify angles (no larger than 180°) as acute, right, obtuse, or straight
- Geometry: Types of angles (Fifth grade - B.11)
- Geometry: Measure angles with a protractor (Fifth grade - B.12)
5.6 Use transformations and symmetry to analyze mathematical situations
5 Transformation
5.6.1 Predict and confirm the results of combinations of flips, turns, and slides
- Geometry: Reflection, rotation, and translation (Fifth grade - B.7)
5 Symmetry
5.6.2 Identify three-dimensional objects that have rotational symmetry and locate the rotational axis
5.7 Use visualization and spatial reasoning to solve problems both within and outside of mathematics
5 Visualization and Spatial Reasoning
5.7.1 Use two-dimensional nets of rectangular solids to solve surface area problems
- Geometry: Nets of 3-dimensional figures (Fifth grade - B.10)
5.8 Select and use different representational systems, including coordinate geometry
5 Coordinate Geometry
5.8.1 Determine the distance between points along horizontal and vertical lines of a coordinate system
- Coordinate graphs: Location and relative coordinates on maps (Fifth grade - Q.3)

5.PFA Patterns, Functions, and Algebra

5.9 Understand various types of patterns and functional relationships
5 Patterns
5.9.1 Analyze patterns and functions and use generalizations to make reasonable predictions
5 Function
5.9.2 Describe situations in which the relationship between two quantities vary directly or inversely
- Algebra: Write linear functions (Fifth grade - P.9)
5.1 Use symbolic forms to represent, model, and analyze mathematical situations
5 Numeric and Algebraic Representations
5.10.1 Use a variety of strategies to solve number sentences with unknowns
5.10.2 Model problem situations with objects or manipulatives and use representations (e.g., graphs, tables, equations) to draw conclusions
5 Rates of Change
5.10.3 Describe situations with constant or varying rates (e.g., miles per hour, items per box)
- Algebra: Write linear functions (Fifth grade - P.9)

5.DASP Data Analysis, Statistics, and Probability

5.11 Pose questions and collect, organize, and represent data to answer those questions
5 Data Collection and Representation
5.11.1 Collect and display data in circle graphs
- Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
5.11.2 Recognize the difference in representing numeric data and categorical data and select appropriate representations to display each type of data
- Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
5.12 Interpret data using methods of exploratory data analysis
5 Data Interpretation
5.12.1 Determine the range, median, mode, and mean for a data set
5.12.2 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)
5.13 Develop and evaluate inferences, predictions, and arguments that are based on data
5 Predictions and Inferences
5.13.1 Design studies to further investigate the conclusion/predictions made based on data
5.14 Understand and apply basic notions of chance and probability
5 Probability
5.14.1 Use fractions, decimals, and percents to indicate the probability of events
- Probability and statistics: Calculate probability (Fifth grade - X.4)
- Probability and statistics: Make predictions (Fifth grade - X.5)
5.14.2 Determine all possible outcomes of a simple compound event
- Probability and statistics: Combinations (Fifth grade - X.6)
- Probability and statistics: Probabilities of compound events (Fifth grade - X.7)