Posts tagged Mathematics
4th Grade - mathematics

Mathematics

The primary goal of our mathematics curriculum is to engage our students in activities that promote higher-level thinking, application of skills through problem-based learning activities, and rich mathematical discussions where they are thinking and speaking like a mathematician!

In order to maintain rigor, our curriculum provides flexible grouping with flexible pacing. Each topic is pre-tested to identify the various levels. Students are pre-tested at the beginning of each topic to carefully identify student levels. Students passing material prior to formal instruction are accelerated using different grade-accelerated materials that included advanced content with a problem-solving focus.

Our mathematics instruction includes Operations, Algebra, Numbers, and Computation.

  • Students will learn place value through hundred millions

  • Students will learn decimal place values through hundred thousandths.

  • Students will learn to compare, estimate, and break apart numbers to solve inequalities.

  • Students will learn addition and subtraction of whole numbers and decimals and will apply this to multi-step problems.

  • Students will learn multiplication of multi-digit numbers by utilizing a variety of methods: area model of multiplication, distributive property, lattice method, and the traditional algorithm.

  • Students will learn long division.

  • Students will learn to use models and mathematical procedures to understand, recognize, and generate equivalent fractions.

  • Students will learn addition and subtraction of fractions, improper fractions, and mixed numbers.

  • Students will learn to identify the least common factor and greatest common denominator.

Students participate in various problem-based learning projects involving application of all operations, along with planning, organization, and real-life scenarios that develop and assess their math skills:

  • The Million Dollar Project

  • Movie Entrepreneur Project.

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2nd grade - mathematics

Mathematics

Our mathematics curriculum uses Pearson Envision math textbook and is supplemented with various project-based activities where students are encouraged to collaborate and work through real-life problems. The overall focus of mathematics in second grade is to promote number sense and problem-solving skills to allow students to work through problems that require multiple steps.

Students work through the following concept areas: Operations and Algebraic Thinking, Number and Operations in Base 10, Measurement and Data, and Geometry.

Within each area, students make real-world connections through word problems. While we differentiate within these concept areas for each student’s individual needs and skill set, all necessary benchmark milestones are covered. Students will learn to:

Operations in Algebraic Thinking

  • Use addition and subtraction within 1,000 to solve and two-step word problems.

  • Fluently add and subtract within 20 using mental strategies.

  • Determine whether a group of objects (up to 20) has an even or odd number of members. Use skip counting by 2 as a strategy.

  • Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to match the array.

  • Interpret products of whole numbers; understand that 5 x 7 is 5 groups of 7 objects.

Number and Operations in Base 10

  • Understand that the three digits of a three-digit number represent hundreds, tens, and ones.

  • Count within 1000; skip count by 5s, 10s, and 100s.

  • Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

  • Compare numbers using <,>, and =.

  • Fluently add and subtract within 1,000 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

  • Mentally add 10 or 100 more to a given number within 1,000.

  • Understand a fraction as the quantity formed by 1 part when a whole is partitioned into equal parts.

Measurement and Data

  • Measure the length of an object by selecting and using appropriate tools, such as rulers, yard/meter sticks, and measuring tape.

  • Estimate lengths using units of inches, feet, centimeters, and meters.

  • Measure to determine how much longer one object is than another.

  • Tell and write time from analog and digital clocks to nearest 5 minutes, using a.m. and p.m.

  • Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢.

  • Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple one to two-step word problems and compare the information presented in the graph.

Geometry

  • Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

  • Partition a rectangle into rows and columns of the same size square and find the total.

  • Partition circles and rectangles into two, three, or four equal shares, describe the shares using words halves, thirds, half of, a third of, etc. and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

Examples of project-based activities include:

  • Creating a Gold Rush Mining Camp Map demonstrating an understanding of geometric shapes, area, and perimeter. (Cross-curricular with Social Studies and Language Arts).

  • Planning a Halloween party on a budget. Students must plan accordingly for the number of people that they plan to invite.

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1st grade - mathematics

Mathematics

In first grade, we differentiate our math skills based on need and ability. Students work in small cooperative groups and learn to utilize different manipulatives and strategies to become confident and knowledgeable in their math skills. Students use hundred boards, number lines, white boards, base-ten blocks, and various counters and number cards to help them develop their math foundation.

We utilize the Pearson Envision math textbook for our math skills and we diversify our instructional strategies. Our strategies include (but are not limited to) problem-based learning, embedded visual learning, and personalization to empower every student.

  • Students will learn to add and subtract fluently to 100.

  • Students will learn to create their own bar graph, line graph, and pictograph, and analyze the data collected.

  • Students will learn place value to the thousands.

  • Students will learn to compare two, three, and four digit numbers.

  • Students use these skills to sequence numbers and compare numbers to determine if they are greater than, less than, or equal to.

  • Students will learn to solve word problems using the key vocabulary words that are regularly found in mathematical word problems.

  • Students will learn word problem strategies such as circling the key numbers in the problem, drawing a representational picture, writing a number sentence, and labeling the answer with the correct unit from a problem.

  • Students will learn to use models and strategies to add and subtract fluently within the ones place, tens place, and hundreds place.

  • Students will learn to measure and compare objects with non-standard and standard units.

  • Students will learn how to tell time on an analog and digital clock to the hour, half hour, and minute.

  • Students will learn the strategy of counting by 5’s on the clock.

  • Students will compare and contrast two-dimensional and three-dimensional shapes, and identify fractions to the whole, half, third, and fourth.

  • Students will learn regrouping the tens place and the hundreds place.

  • Students will focus on their problem solving process and learn how to explain their thought process through “math talk” to their peers.

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kindergarten - mathematics

Mathematics

Our kindergarten mathematics curriculum exposes students to a wide range of skills with a heavy focus on numeracy and understanding the meaning and relationship between numbers. Daily manipulatives are used for concrete practice.

  • Students will learn to count to 100 by ones, twos, fives, and tens.

  • Students will learn to compare and order numbers within 100.

  • Students will learn to compose and decompose teen numbers.

  • Students will learn to add and subtract fluently within 10.

  • Students will apply knowledge of addition and subtraction to complete word problems within 20.

  • Students will understand the relationship between numbers and quantities, and will connect counting to cardinality.

  • Students will learn to attend to precision when counting sets and recording answers.

  • Students will learn to use the ten frame to visualize numbers in preparation for working with larger numbers.

  • Students will learn that numbers are composed of “tens”and “ones” as we build a foundation for place value knowledge.

  • Students will learn measurement, coin identification, and value.

  • Students will practice skills that they are learning by playing cooperative games such as Roll and Record, Shake and Spill, and Candy Land Tens & Ones.

  • Students will develop an imaginary farm as an introduction to Project Based Learning (PBL).

  • Students will work weekly with a teacher and peers to respond to story problems which will result in the creation of a foldable farm. This project extends learning of counting, base ten, adding/subtracting, measurement, and shapes.

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early childhood - mathematics

Mathematics

Math in early childhood encompasses many of the foundational skills that will be necessary throughout our students’ educational journey. Our fun and engaging math activities are conducted during scheduled math time, as well as teachable moments throughout the day, to make math learning meaningful and connected to various other life skills. Units include: patterns, geometry, measurement, addition/subtraction, graphing, time, money, number writing, and more.

  • Students will learn number sense and number relationships.

  • Students will learn how to read a calendar, and how to use it as a helpful tool as we discuss important events in chronological order noting months, days, dates, and the year.

  • Students will learn to write numbers.

  • Students will learn one-to-one correspondence.

  • Students will learn skip counting by fives and tens.

  • Students will learn to collect and document data using bar graphs.

  • Students will determine when and how to use graphs, and read the data to answer questions pertaining to the information given.

  • Students will learn about positional words that will help them understand object relationships.

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