ES Mathematics: SG1

UNITS

Unit:
• Number Sense
Essential Questions:
• How can we recognize the relationships between numbers?
• How do we represent numbers in different ways?
• What strategies can we use to count and compare sets of objects?
• How can we use objects and diagrams to represent and solve problems involving addition and subtraction?
• How can we use strategies such as counting on and counting back to solve addition and subtraction problems?
• How do we show understanding of place value, including tens and ones?
• What patterns can we explore when identifying, extending and creating number sequences?
• How can we identify the skip counting patterns to solve problems?
• What strategies can we use to estimate and measure in non-standard units?
• How can we apply the concept of fractions to represent and identify parts of a whole?
Unit:
• Place Value up to 100
Essential Questions:
• What is place value and how do we use it to represent numbers?
• How can we think of numbers with multiple digits in terms of place value?
• How do we use place value to compare, add, and subtract numbers?
• How can we use concrete objects to represent numbers and place value?
• Why is understanding place value important in mathematics?
Unit:
• 2D and 3D Shapes
Essential Questions:
• What are the differences between 2D and 3D shapes?
• How can we identify and name 2D and 3D shapes?
• What makes a shape a 2D shape?
• What makes a shape a 3D shape?
• How can we use 2D and 3D shapes in our everyday lives?
• What attributes can we measure for 2D and 3D shapes?
• How can we build and create 2D and 3D shapes?
• How can we categorize and classify 2D and 3D shapes?
• How can we use patterns and symmetry to identify 2D and 3D shapes?
• How can we compare and contrast 2D and 3D shapes?
Unit:
• Collect and Organize Data
Essential Questions:
• How is data presented?
• How can we use data to answer questions?
• What is the difference between organizing and collecting data?
• How do we count and organize data using objects, pictures, and numbers?
• What is the difference between a tally chart and a graph?
• How can we interpret data from a graph?
• How can we use data to make predictions?
• How can we create a graph to represent data?
Unit:
• Problem Solving and Communicating
Essential Questions:
• What does it mean to solve a problem?
• How do we use math to solve problems?
• What strategies can we use to solve math problems?
• How can we use math to communicate our ideas?
• How can we use teamwork to solve problems?
• What strategies can we use to help us understand math concepts better?
• How can we use language to explain our math thinking?
• How can we use pictures and diagrams to solve math problems?
• How can we use technology to help us solve math problems?
• How can we use mathematical models to solve problems?
Unit:
Essential Questions:
• What is addition?
• How do we use addition to solve problems?
• How do we use mental math strategies to solve addition problems?
• How do we use objects and drawings to represent addition problems?
• How can we use addition to compare and explore number relationships?
• How can we use addition to solve word problems?
• How does the commutative property of addition help us solve problems?
• How do we use addition facts to solve problems?
• How can we use addition to break up larger numbers?
Unit:
• Subtraction
Essential Questions:
• What is subtraction?
• How can you solve a subtraction problem?
• How can you use subtraction to problem solve?
• How do you subtract numbers with more than one digit?
• What strategies can you use to subtract without a calculator?
• How can you use subtraction to make comparisons?
• What are some real-world applications of subtraction?
• What strategies can you use when subtracting numbers with regrouping?
• How can you use subtraction to solve for unknown numbers?
• How is subtraction related to other math concepts, like addition and multiplication?
Unit:
• Patterns
Essential Questions:
• What is a pattern?
• How can we recognize patterns?
• How can we create patterns?
• How can we use patterns to solve problems?
• What is the importance of pattern recognition in math?
• What are the different types of patterns?
• What tools do we use to make patterns?
• What is the difference between repeating and growing patterns?
• How can patterns help us understand the world around us?
• How can we use patterns to make predictions?
Unit:
• Length and Time
Essential Questions:
• How can we measure length and time?
• How can we compare lengths and times?
• How can we use measurements of length and time to solve problems?
• How does understanding length and time help us in our everyday life?
• What other ways can we express length and time?
• How do different tools and units measure length and time?
• How can we use length and time to make graphs and charts?
• What shapes and patterns can we create with measurements of length and time?
• How do different people measure length and time?
• How can we use different measuring tools to solve problems?
Unit:
• Chance
Essential Questions:
• How can we understand and use chance and probability?
• How do we use data to solve problems involving chance?
• How can we use different strategies to solve probability problems?
• How can we develop and apply strategies to estimate chance?
• Why is it important to think about likelihoods and outcomes when solving problems involving chance?
• How is probability connected to everyday experiences?
• How do we represent data to answer questions involving chance?
• How do we identify patterns and use them to solve problems involving chance?
Unit:
• Problem Solving and Reasoning
Essential Questions:
• What strategies can be used to tackle a math problem?
• How can we break apart a problem to understand it better?
• How does having a plan help when solving a problem?
• How can we use diagrams, drawings, or number lines to solve a problem?
• What strategies can we use to check if our answer makes sense?
• How can we use trial and error to find a solution?
• How can we use estimation to check our answer?
• How can we apply our understanding of patterns and relationships to solve a problem?
• How can understanding how operations work help us solve a problem?
• What strategies can we use to reason through a problem?
Unit:
• Fractions
Essential Questions:
• What is a fraction?
• How do fractions help us understand our world?
• What is the relationship between a fraction and a whole?
• How do we represent fractions on a number line?
• How do we compare fractions?
• How do we add and subtract fractions?
• How do fractions apply to everyday life?
• How can fractions be used to solve problems?
• What are equivalent fractions?
• How do we simplify fractions?